m^2+7m=60

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Solution for m^2+7m=60 equation:


Simplifying
m2 + 7m = 60

Reorder the terms:
7m + m2 = 60

Solving
7m + m2 = 60

Solving for variable 'm'.

Reorder the terms:
-60 + 7m + m2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + 7m + m2 = 0

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

Subproblem 1

Set the factor '(-12 + -1m)' equal to zero and attempt to solve: Simplifying -12 + -1m = 0 Solving -12 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1m = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1m = 0 + 12 -1m = 0 + 12 Combine like terms: 0 + 12 = 12 -1m = 12 Divide each side by '-1'. m = -12 Simplifying m = -12

Subproblem 2

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

Solution

m = {-12, 5}

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