3m^2-6m=3m

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Solution for 3m^2-6m=3m equation:


Simplifying
3m2 + -6m = 3m

Reorder the terms:
-6m + 3m2 = 3m

Solving
-6m + 3m2 = 3m

Solving for variable 'm'.

Reorder the terms:
-6m + -3m + 3m2 = 3m + -3m

Combine like terms: -6m + -3m = -9m
-9m + 3m2 = 3m + -3m

Combine like terms: 3m + -3m = 0
-9m + 3m2 = 0

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

Ignore the factor 3.

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 '(-3 + m)' equal to zero and attempt to solve: Simplifying -3 + m = 0 Solving -3 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + m = 0 + 3 m = 0 + 3 Combine like terms: 0 + 3 = 3 m = 3 Simplifying m = 3

Solution

m = {0, 3}

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