x(x+5)=-3x

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Solution for x(x+5)=-3x equation: 


Simplifying
x(x + 5) = -3x

Reorder the terms:
x(5 + x) = -3x
(5 * x + x * x) = -3x
(5x + x2) = -3x

Solving
5x + x2 = -3x

Solving for variable 'x'.

Reorder the terms:
5x + 3x + x2 = -3x + 3x

Combine like terms: 5x + 3x = 8x
8x + x2 = -3x + 3x

Combine like terms: -3x + 3x = 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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