x^2+4x+9=-4x+9

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Solution for x^2+4x+9=-4x+9 equation: 


Simplifying
x2 + 4x + 9 = -4x + 9

Reorder the terms:
9 + 4x + x2 = -4x + 9

Reorder the terms:
9 + 4x + x2 = 9 + -4x

Add '-9' to each side of the equation.
9 + 4x + -9 + x2 = 9 + -9 + -4x

Reorder the terms:
9 + -9 + 4x + x2 = 9 + -9 + -4x

Combine like terms: 9 + -9 = 0
0 + 4x + x2 = 9 + -9 + -4x
4x + x2 = 9 + -9 + -4x

Combine like terms: 9 + -9 = 0
4x + x2 = 0 + -4x
4x + x2 = -4x

Solving
4x + x2 = -4x

Solving for variable 'x'.

Reorder the terms:
4x + 4x + x2 = -4x + 4x

Combine like terms: 4x + 4x = 8x
8x + x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
8x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + 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 '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 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 + x = 0 + -8

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

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

Simplifying
x = -8
Solution
x = {0, -8}

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