-3(m-2n)5m=

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


Simplifying
-3(m + -2n) * 5m = 0

Reorder the terms for easier multiplication:
-3 * 5m(m + -2n) = 0

Multiply -3 * 5
-15m(m + -2n) = 0
(m * -15m + -2n * -15m) = 0

Reorder the terms:
(30mn + -15m2) = 0
(30mn + -15m2) = 0

Solving
30mn + -15m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '15m'.
15m(2n + -1m) = 0

Ignore the factor 15.

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 '(2n + -1m)' equal to zero and attempt to solve: Simplifying 2n + -1m = 0 Reorder the terms: -1m + 2n = 0 Solving -1m + 2n = 0 Move all terms containing m to the left, all other terms to the right. Add '-2n' to each side of the equation. -1m + 2n + -2n = 0 + -2n Combine like terms: 2n + -2n = 0 -1m + 0 = 0 + -2n -1m = 0 + -2n Remove the zero: -1m = -2n Divide each side by '-1'. m = 2n Simplifying m = 2n

Solution

m = {0, 2n}

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