-x^2=-x-8x

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


Simplifying
-1x2 = -1x + -8x

Combine like terms: -1x + -8x = -9x
-1x2 = -9x

Solving
-1x2 = -9x

Solving for variable 'x'.

Reorder the terms:
9x + -1x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
9x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(9 + -1x) = 0


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 '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {0, 9}

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