9x^2+12x+8=8

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Solution for 9x^2+12x+8=8 equation: 


Simplifying
9x2 + 12x + 8 = 8

Reorder the terms:
8 + 12x + 9x2 = 8

Add '-8' to each side of the equation.
8 + 12x + -8 + 9x2 = 8 + -8

Reorder the terms:
8 + -8 + 12x + 9x2 = 8 + -8

Combine like terms: 8 + -8 = 0
0 + 12x + 9x2 = 8 + -8
12x + 9x2 = 8 + -8

Combine like terms: 8 + -8 = 0
12x + 9x2 = 0

Solving
12x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(4 + 3x) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333
Solution
x = {0, -1.333333333}

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