3m^2=75m

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Solution for 3m^2=75m equation:


Simplifying
3m2 = 75m

Solving
3m2 = 75m

Solving for variable 'm'.

Reorder the terms:
-75m + 3m2 = 75m + -75m

Combine like terms: 75m + -75m = 0
-75m + 3m2 = 0

Factor out the Greatest Common Factor (GCF), '3m'.
3m(-25 + 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 '(-25 + m)' equal to zero and attempt to solve: Simplifying -25 + m = 0 Solving -25 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + m = 0 + 25 Combine like terms: -25 + 25 = 0 0 + m = 0 + 25 m = 0 + 25 Combine like terms: 0 + 25 = 25 m = 25 Simplifying m = 25

Solution

m = {0, 25}

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