Nov 26, 2015 · How do you solve #2x = 12#? Algebra Linear Equations One-Step Equations and Inverse Operations. 1 Answer

Oct 25, 2015 · x=1 First, rearrange the equation like this: 2^(2x) + 2^(x + 2) - 12 = 0 (2^x)^2 + 4(2^x) - 12 = 0 Now, treat this like a quadratic equation by substituting 2^x=s: s^2+4s-12=0 (s+6)(s-2)=0 s=-6 or s=2 Now, go back to the substitution: 2^x=s 2^x=-6 or 2^x=2 Since 2^x can never equal a negative number, we can rule out the first solution. However, the second …

Aug 15, 2016 · x= 3 or x = -2 All the numbers in the equation are even, so divide through by 2. x^2 - x - 6 = 0" find factors" The factors of 6 which subtract to make 1 are 2 and 2.

Jan 7, 2017 · To find the solution for #x# in this equation we divide each side of the equation by #color(red)(2)# in order to isolate #x# and keep the equation balanced:

Jun 29, 2016 · 2(x - x1)(x - x2) y = 2x^2 + 3x - 12 Factored form of y: y = a(x - x1)(x - x2) Find x1 and x2, the 2 real roots of y.

Jun 23, 2018 · See a solution process below: First, group and combine like terms on the left side of the equation: 2x + 12 - 7x = -2 2x - 7x + 12 = -2 (2 - 7)x + 12 = -2 -5x + 12 = -2 Next, subtract color(red)(12) from each side of the equation to isolate the x term while keeping the equation balanced: -5x + 12 - color(red)(12) = -2 - color(red)(12) -5x + 0 = -14 -5x = -14 Now, divide …

Dec 25, 2017 · For example: y=\log(2x-12) y = \log_{10}(2x-12) This can be represented by, in exponential form, 10^y = 2x - 12 10 raised to any exponent cannot get a negative number or be equal to zero, thus 2x - 12 > 0 So solve 2x - 12 > 0 to get the permissible values for x. 2x - 12 > 0 \ \ \ \ \ \ \ \ \ 2x > 12 \ \ \ \ \ \ \ \ \ \ \ x > 6 The domain is \{x ...

Apr 8, 2018 · color(red)(D. " " 3x + 2y = -2 Given Equation is -2x + 3y = 12 3y = 2x + 12 y = (2/3)y + 12 Slope of this ...

Mar 7, 2016 · slope = 2/3 , intercept = -4 >One form of the equation of a line is y = mx + c , where m represents the gradient (slope) and c , the y-intercept.

Sep 11, 2015 · The slope is -2/3. Convert the given equation to the slope-intercept form by solving for y. 2x+3y=12 is the standard form for a linear equation. To determine the slope, solve the equation for y in order to convert to the slope-intercept form y=mx+b, where m is the slope and b is the y-intercept. 2x+3y=12 Subtract 2x from both sides. 3y=-2x+12 Divide both sides by 3. y= …