9(x+x^2)=88

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Solution for 9(x+x^2)=88 equation: 


Simplifying
9(x + x2) = 88
(x * 9 + x2 * 9) = 88
(9x + 9x2) = 88

Solving
9x + 9x2 = 88

Solving for variable 'x'.

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

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

Factor a trinomial.
(-11 + -3x)(8 + -3x) = 0


Subproblem 1
Set the factor '(-11 + -3x)' equal to zero and attempt to solve:

Simplifying
-11 + -3x = 0

Solving
-11 + -3x = 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 + -3x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -3x = 0 + 11
-3x = 0 + 11

Combine like terms: 0 + 11 = 11
-3x = 11

Divide each side by '-3'.
x = -3.666666667

Simplifying
x = -3.666666667

Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667
Solution
x = {-3.666666667, 2.666666667}

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