Question

If 2x^2+2x=12, what is x?

Answer 1

x = - 3 or x = 2

Explanation:

2x² + 2x - 12 = 0

Divide all the terms by 2 to simplify the terms

That's

x² + x - 6 = 0

Write x as a difference

That's

x² + 3x - 2x - 6 = 0

Factor x out of the equation

That's

x( x + 3) - 2x - 6 = 0

Factor out - 2 from the expression

x(x + 3) - 2( x + 3) = 0

Factor out x + 3 from the expression

That's

( x + 3)(x - 2) = 0

x + 3 = 0 x - 2 = 0

x = - 3 x = 2

Hope this helps you

Answer 2

x= 2

x= -3

Explanation:

Solving as normal quadratic equation:

• 2x^2+2x=12
• x^2 +x = 6
• x^2 + x - 6= 0
• x = (-1 ± √(1+4*1*6)/2
• x = ( - 1 ± √25)/2
• x = (-1 ± 5)/2
• x= 2
• x= -3

Roots are 2 and -3