m^2+22m=-85

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Solution for m^2+22m=-85 equation:


Simplifying
m2 + 22m = -85

Reorder the terms:
22m + m2 = -85

Solving
22m + m2 = -85

Solving for variable 'm'.

Reorder the terms:
85 + 22m + m2 = -85 + 85

Combine like terms: -85 + 85 = 0
85 + 22m + m2 = 0

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

Subproblem 1

Set the factor '(17 + m)' equal to zero and attempt to solve: Simplifying 17 + m = 0 Solving 17 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + m = 0 + -17 Combine like terms: 17 + -17 = 0 0 + m = 0 + -17 m = 0 + -17 Combine like terms: 0 + -17 = -17 m = -17 Simplifying m = -17

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 = {-17, -5}

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