6m^2=-48m

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Solution for 6m^2=-48m equation:


Simplifying
6m2 = -48m

Solving
6m2 = -48m

Solving for variable 'm'.

Reorder the terms:
48m + 6m2 = -48m + 48m

Combine like terms: -48m + 48m = 0
48m + 6m2 = 0

Factor out the Greatest Common Factor (GCF), '6m'.
6m(8 + m) = 0

Ignore the factor 6.

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 '(8 + m)' equal to zero and attempt to solve: Simplifying 8 + m = 0 Solving 8 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + m = 0 + -8 m = 0 + -8 Combine like terms: 0 + -8 = -8 m = -8 Simplifying m = -8

Solution

m = {0, -8}

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