m(12m+48)=60

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Solution for m(12m+48)=60 equation:


Simplifying
m(12m + 48) = 60

Reorder the terms:
m(48 + 12m) = 60
(48 * m + 12m * m) = 60
(48m + 12m2) = 60

Solving
48m + 12m2 = 60

Solving for variable 'm'.

Reorder the terms:
-60 + 48m + 12m2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + 48m + 12m2 = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(-5 + 4m + m2) = 0

Factor a trinomial.
12((-5 + -1m)(1 + -1m)) = 0

Ignore the factor 12.

Subproblem 1

Set the factor '(-5 + -1m)' equal to zero and attempt to solve: Simplifying -5 + -1m = 0 Solving -5 + -1m = 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 + -1m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1m = 0 + 5 -1m = 0 + 5 Combine like terms: 0 + 5 = 5 -1m = 5 Divide each side by '-1'. m = -5 Simplifying m = -5

Subproblem 2

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

Solution

m = {-5, 1}

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