x(x-3)=-5x

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


Simplifying
x(x + -3) = -5x

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

Solving
-3x + x2 = -5x

Solving for variable 'x'.

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

Combine like terms: -3x + 5x = 2x
2x + x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
2x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(2 + 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {0, -2}

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