-2m(m-30)=(-6m)

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Solution for -2m(m-30)=(-6m) equation:


Simplifying
-2m(m + -30) = (-6m)

Reorder the terms:
-2m(-30 + m) = (-6m)
(-30 * -2m + m * -2m) = (-6m)
(60m + -2m2) = (-6m)

Solving
60m + -2m2 = (-6m)

Solving for variable 'm'.

Reorder the terms:
60m + (6m) + -2m2 = (-6m) + (6m)

Combine like terms: 60m + (6m) = 66m
66m + -2m2 = (-6m) + (6m)

Combine like terms: (-6m) + (6m) = 0
66m + -2m2 = 0

Factor out the Greatest Common Factor (GCF), '2m'.
2m(33 + -1m) = 0

Ignore the factor 2.

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 '(33 + -1m)' equal to zero and attempt to solve: Simplifying 33 + -1m = 0 Solving 33 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -1m = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -1m = 0 + -33 -1m = 0 + -33 Combine like terms: 0 + -33 = -33 -1m = -33 Divide each side by '-1'. m = 33 Simplifying m = 33

Solution

m = {0, 33}

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