m^2=-15m-50

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Solution for m^2=-15m-50 equation:


Simplifying
m2 = -15m + -50

Reorder the terms:
m2 = -50 + -15m

Solving
m2 = -50 + -15m

Solving for variable 'm'.

Reorder the terms:
50 + 15m + m2 = -50 + -15m + 50 + 15m

Reorder the terms:
50 + 15m + m2 = -50 + 50 + -15m + 15m

Combine like terms: -50 + 50 = 0
50 + 15m + m2 = 0 + -15m + 15m
50 + 15m + m2 = -15m + 15m

Combine like terms: -15m + 15m = 0
50 + 15m + m2 = 0

Factor a trinomial.
(10 + m)(5 + m) = 0

Subproblem 1

Set the factor '(10 + m)' equal to zero and attempt to solve: Simplifying 10 + m = 0 Solving 10 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + m = 0 + -10 m = 0 + -10 Combine like terms: 0 + -10 = -10 m = -10 Simplifying m = -10

Subproblem 2

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

Solution

m = {-10, -5}

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