7m^2=-14m

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Solution for 7m^2=-14m equation:


Simplifying
7m2 = -14m

Solving
7m2 = -14m

Solving for variable 'm'.

Reorder the terms:
14m + 7m2 = -14m + 14m

Combine like terms: -14m + 14m = 0
14m + 7m2 = 0

Factor out the Greatest Common Factor (GCF), '7m'.
7m(2 + m) = 0

Ignore the factor 7.

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

Solution

m = {0, -2}

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