x^2+3x-8=-8

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Solution for x^2+3x-8=-8 equation: 


Simplifying
x2 + 3x + -8 = -8

Reorder the terms:
-8 + 3x + x2 = -8

Add '8' to each side of the equation.
-8 + 3x + 8 + x2 = -8 + 8

Reorder the terms:
-8 + 8 + 3x + x2 = -8 + 8

Combine like terms: -8 + 8 = 0
0 + 3x + x2 = -8 + 8
3x + x2 = -8 + 8

Combine like terms: -8 + 8 = 0
3x + x2 = 0

Solving
3x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + 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 '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

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

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

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

Simplifying
x = -3
Solution
x = {0, -3}

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