3m^2=27m

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Solution for 3m^2=27m equation:


Simplifying
3m2 = 27m

Solving
3m2 = 27m

Solving for variable 'm'.

Reorder the terms:
-27m + 3m2 = 27m + -27m

Combine like terms: 27m + -27m = 0
-27m + 3m2 = 0

Factor out the Greatest Common Factor (GCF), '3m'.
3m(-9 + 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 '(-9 + m)' equal to zero and attempt to solve: Simplifying -9 + m = 0 Solving -9 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + m = 0 + 9 m = 0 + 9 Combine like terms: 0 + 9 = 9 m = 9 Simplifying m = 9

Solution

m = {0, 9}

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