9x(x+1)-7(x-11)=86+2x

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Solution for 9x(x+1)-7(x-11)=86+2x equation: 


Simplifying
9x(x + 1) + -7(x + -11) = 86 + 2x

Reorder the terms:
9x(1 + x) + -7(x + -11) = 86 + 2x
(1 * 9x + x * 9x) + -7(x + -11) = 86 + 2x
(9x + 9x2) + -7(x + -11) = 86 + 2x

Reorder the terms:
9x + 9x2 + -7(-11 + x) = 86 + 2x
9x + 9x2 + (-11 * -7 + x * -7) = 86 + 2x
9x + 9x2 + (77 + -7x) = 86 + 2x

Reorder the terms:
77 + 9x + -7x + 9x2 = 86 + 2x

Combine like terms: 9x + -7x = 2x
77 + 2x + 9x2 = 86 + 2x

Add '-2x' to each side of the equation.
77 + 2x + -2x + 9x2 = 86 + 2x + -2x

Combine like terms: 2x + -2x = 0
77 + 0 + 9x2 = 86 + 2x + -2x
77 + 9x2 = 86 + 2x + -2x

Combine like terms: 2x + -2x = 0
77 + 9x2 = 86 + 0
77 + 9x2 = 86

Solving
77 + 9x2 = 86

Solving for variable 'x'.

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

Add '-77' to each side of the equation.
77 + -77 + 9x2 = 86 + -77

Combine like terms: 77 + -77 = 0
0 + 9x2 = 86 + -77
9x2 = 86 + -77

Combine like terms: 86 + -77 = 9
9x2 = 9

Divide each side by '9'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}

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