15m^2-5m^2=30m+11m

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Solution for 15m^2-5m^2=30m+11m equation:


Simplifying
15m2 + -5m2 = 30m + 11m

Combine like terms: 15m2 + -5m2 = 10m2
10m2 = 30m + 11m

Combine like terms: 30m + 11m = 41m
10m2 = 41m

Solving
10m2 = 41m

Solving for variable 'm'.

Reorder the terms:
-41m + 10m2 = 41m + -41m

Combine like terms: 41m + -41m = 0
-41m + 10m2 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-41 + 10m) = 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 '(-41 + 10m)' equal to zero and attempt to solve: Simplifying -41 + 10m = 0 Solving -41 + 10m = 0 Move all terms containing m to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 10m = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 10m = 0 + 41 10m = 0 + 41 Combine like terms: 0 + 41 = 41 10m = 41 Divide each side by '10'. m = 4.1 Simplifying m = 4.1

Solution

m = {0, 4.1}

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