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

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


Simplifying
x2 + 8x + 9 = -1x + 9

Reorder the terms:
9 + 8x + x2 = -1x + 9

Reorder the terms:
9 + 8x + x2 = 9 + -1x

Add '-9' to each side of the equation.
9 + 8x + -9 + x2 = 9 + -9 + -1x

Reorder the terms:
9 + -9 + 8x + x2 = 9 + -9 + -1x

Combine like terms: 9 + -9 = 0
0 + 8x + x2 = 9 + -9 + -1x
8x + x2 = 9 + -9 + -1x

Combine like terms: 9 + -9 = 0
8x + x2 = 0 + -1x
8x + x2 = -1x

Solving
8x + x2 = -1x

Solving for variable 'x'.

Reorder the terms:
8x + x + x2 = -1x + x

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

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(9 + x) = 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 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 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 + x = 0 + -9

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

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

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

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