x^2+31x=0

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Solution for x^2+31x=0 equation:


Simplifying
x2 + 31x = 0

Reorder the terms:
31x + x2 = 0

Solving
31x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(31 + 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 '(31 + x)' equal to zero and attempt to solve: Simplifying 31 + x = 0 Solving 31 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + x = 0 + -31 x = 0 + -31 Combine like terms: 0 + -31 = -31 x = -31 Simplifying x = -31

Solution

x = {0, -31}

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