-8x^2-8x+9=9

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


Simplifying
-8x2 + -8x + 9 = 9

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

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

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

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

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

Solving
-8x + -8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-8x'.
-8x(1 + x) = 0

Ignore the factor -8.

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 '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {0, -1}

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