-x^2=3x

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Solution for -x^2=3x equation:


Simplifying
-1x2 = 3x

Solving
-1x2 = 3x

Solving for variable 'x'.

Reorder the terms:
-3x + -1x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-3x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(3 + x) = 0

Ignore the factor -1.

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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