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

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

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

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

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

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

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

Combine like terms: 86 + 2 = 88
77 + 2x + 9x2 = 88

Solving
77 + 2x + 9x2 = 88

Solving for variable 'x'.

Reorder the terms:
77 + -88 + 2x + 9x2 = 88 + -88

Combine like terms: 77 + -88 = -11
-11 + 2x + 9x2 = 88 + -88

Combine like terms: 88 + -88 = 0
-11 + 2x + 9x2 = 0

Factor a trinomial.
(-11 + -9x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-11 + -9x)' equal to zero and attempt to solve:

Simplifying
-11 + -9x = 0

Solving
-11 + -9x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -9x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -9x = 0 + 11
-9x = 0 + 11

Combine like terms: 0 + 11 = 11
-9x = 11

Divide each side by '-9'.
x = -1.222222222

Simplifying
x = -1.222222222
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-1.222222222, 1}