Apr 11, 2017 · See the entire solution process below: Step 1) Subtract color(red)(30) from each side of the equation to isolate the x term while keeping the equation balanced: 4x + 30 - color(red)(30) = 30 - color(red)(30) 4x + 0 = 0 4x = 0 Step 2) Divide each side of the equation by color(red)(4) to solve for x while keeping the equation balanced: (4x)/color(red)(4) = …

May 10, 2017 · Combine the x-terms and isolate x to solve. x+1/4x=30 Since x can be written as 4/4x: 4/4x+1/4x=30 5/4x=30 Now we can multiply both sides by 4 and divide both sides by 5: (4/5)(5/4x)=30(4/5) x=24 which is our final answer.

Sep 5, 2016 · #2x^2+ 4x -30 =0# #x^2 +2x -15 = 0# Try to factor before we use loner methods of the quadratic formula or completing the square. Find factors of 15 which subtract (because of -15) to give 2. The signs will be different (because of -15), there must be more positives. (because of +2) 5 and 3 will work! #5xx3 = 15 and 5-3 = 2# #(x+5)(x-3) = 0#

Jan 18, 2016 · y=2(x+1)^2-32 The vertex form y=a(x-h)^2+k where (h,k) is the vertex. Our question y=2x^2+4x-30 We got different approaches for getting to the vertex form. One is to use the formula for xcoordinate of the vertex and then using the value to find the y coordinate and write the given equation in the vertex form. We are going to use a different approach. Let us …

Apr 11, 2018 · x = 10 1. we have to find, when the absolute value (ABS) is more than zero and when less zero point for this ABS is x=-30 2. then we will solve this problem for 2 intervals, one interval when ABS is possitive and one when ABS is negative first interval: (in this interval ABS is negative therefore we write -(x+30) instead of ABS) x in (-oo;-30): -(x+30)=4x -30=5x x=-6 but …

Oct 3, 2015 · Refer to explanation What you got is called inequality .You need to find the values of variable x that make the inequality true. Hence 4x-30 > -3x+12 Move -30 to other side and change sign. 4x>30-3x+12 Move -3x to other side and change sign as well 4x+3x>30+12 Now add in both sides 7x>42 Divide by 7 both sides (7x)/7>(42)/7 Simplify x>6 Hence the values of x that …

May 10, 2016 · 3 and -5 y = -2(x^2 + 2x - 15) = 0 Solve the quadratic equation in parentheses. Find 2 numbers knowing sum (-b = -2) and product (c = -15).

Jan 10, 2016 · y = 2(x - 3)(x + 5) I use the new AC Method to factor trinomials (Socratic Search). y = 2x^2 + 4x - 30 = 2(x + p)(x + q) (1) Converted trinomial: y' = x^2 + 4x - 60 = (x + p')(x + q') p' and q' have opposite signs because ac < 0.

Aug 14, 2017 · There are two variables and only one equation. With only one equation there are an infinite number of points that would fall on the line. The equation can be simplified and put into the form y = mx + b 4x + 2y -2 = 30 4x -4x + 2y - 2 + 2 = -4x + 30 +2" " This gives 2y = -4x + 32" " dividing everything by 2 gives.. (2y)/2 = (-4x)/2 + 32/2" " which equals y = -2x + 16" " Put in …

Feb 4, 2016 · Given: #color(white)("XXX")-2x^2-4x+30=0# Before completing the square, simplify by dividing everything (on both sides) by #(-2)#