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 = 36x
12x2 = (24 + 36x + 12x2)

Add '-12x2' to each side of the equation.
12x2 + -12x2 = 24 + 36x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
0 = 24 + 36x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
0 = 24 + 36x + 0
0 = 24 + 36x

Solving
0 = 24 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
0 + -36x = 24 + 36x + -36x
Remove the zero:
-36x = 24 + 36x + -36x

Combine like terms: 36x + -36x = 0
-36x = 24 + 0
-36x = 24

Divide each side by '-36'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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