11x^2+x^2=(4x+8)(3x-3)

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Solution for 11x^2+x^2=(4x+8)(3x-3) equation: 


Simplifying
11x2 + x2 = (4x + 8)(3x + -3)

Combine like terms: 11x2 + x2 = 12x2
12x2 = (4x + 8)(3x + -3)

Reorder the terms:
12x2 = (8 + 4x)(3x + -3)

Reorder the terms:
12x2 = (8 + 4x)(-3 + 3x)

Multiply (8 + 4x) * (-3 + 3x)
12x2 = (8(-3 + 3x) + 4x * (-3 + 3x))
12x2 = ((-3 * 8 + 3x * 8) + 4x * (-3 + 3x))
12x2 = ((-24 + 24x) + 4x * (-3 + 3x))
12x2 = (-24 + 24x + (-3 * 4x + 3x * 4x))
12x2 = (-24 + 24x + (-12x + 12x2))

Combine like terms: 24x + -12x = 12x
12x2 = (-24 + 12x + 12x2)

Add '-12x2' to each side of the equation.
12x2 + -12x2 = -24 + 12x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
0 = -24 + 12x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
0 = -24 + 12x + 0
0 = -24 + 12x

Solving
0 = -24 + 12x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12x' to each side of the equation.
0 + -12x = -24 + 12x + -12x
Remove the zero:
-12x = -24 + 12x + -12x

Combine like terms: 12x + -12x = 0
-12x = -24 + 0
-12x = -24

Divide each side by '-12'.
x = 2

Simplifying
x = 2

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