m^2=-7m

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Solution for m^2=-7m equation:


Simplifying
m2 = -7m

Solving
m2 = -7m

Solving for variable 'm'.

Reorder the terms:
7m + m2 = -7m + 7m

Combine like terms: -7m + 7m = 0
7m + m2 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(7 + m) = 0

Subproblem 1

Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0

Subproblem 2

Set the factor '(7 + m)' equal to zero and attempt to solve: Simplifying 7 + m = 0 Solving 7 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + m = 0 + -7 m = 0 + -7 Combine like terms: 0 + -7 = -7 m = -7 Simplifying m = -7

Solution

m = {0, -7}

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