2m^2=5m

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Solution for 2m^2=5m equation:


Simplifying
2m2 = 5m

Solving
2m2 = 5m

Solving for variable 'm'.

Reorder the terms:
-5m + 2m2 = 5m + -5m

Combine like terms: 5m + -5m = 0
-5m + 2m2 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-5 + 2m) = 0

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 '(-5 + 2m)' equal to zero and attempt to solve: Simplifying -5 + 2m = 0 Solving -5 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2m = 0 + 5 2m = 0 + 5 Combine like terms: 0 + 5 = 5 2m = 5 Divide each side by '2'. m = 2.5 Simplifying m = 2.5

Solution

m = {0, 2.5}

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