3m(m-5)-(2m^2-m)=

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Solution for 3m(m-5)-(2m^2-m)= equation:


Simplifying
3m(m + -5) + -1(2m2 + -1m) = 0

Reorder the terms:
3m(-5 + m) + -1(2m2 + -1m) = 0
(-5 * 3m + m * 3m) + -1(2m2 + -1m) = 0
(-15m + 3m2) + -1(2m2 + -1m) = 0

Reorder the terms:
-15m + 3m2 + -1(-1m + 2m2) = 0
-15m + 3m2 + (-1m * -1 + 2m2 * -1) = 0
-15m + 3m2 + (1m + -2m2) = 0

Reorder the terms:
-15m + 1m + 3m2 + -2m2 = 0

Combine like terms: -15m + 1m = -14m
-14m + 3m2 + -2m2 = 0

Combine like terms: 3m2 + -2m2 = 1m2
-14m + 1m2 = 0

Solving
-14m + 1m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-14 + m) = 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 '(-14 + m)' equal to zero and attempt to solve: Simplifying -14 + m = 0 Solving -14 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + m = 0 + 14 Combine like terms: -14 + 14 = 0 0 + m = 0 + 14 m = 0 + 14 Combine like terms: 0 + 14 = 14 m = 14 Simplifying m = 14

Solution

m = {0, 14}

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