m^2+81=-18m

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Solution for m^2+81=-18m equation:


Simplifying
m2 + 81 = -18m

Reorder the terms:
81 + m2 = -18m

Solving
81 + m2 = -18m

Solving for variable 'm'.

Reorder the terms:
81 + 18m + m2 = -18m + 18m

Combine like terms: -18m + 18m = 0
81 + 18m + m2 = 0

Factor a trinomial.
(9 + m)(9 + m) = 0

Subproblem 1

Set the factor '(9 + m)' equal to zero and attempt to solve: Simplifying 9 + m = 0 Solving 9 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + m = 0 + -9 m = 0 + -9 Combine like terms: 0 + -9 = -9 m = -9 Simplifying m = -9

Subproblem 2

Set the factor '(9 + m)' equal to zero and attempt to solve: Simplifying 9 + m = 0 Solving 9 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + m = 0 + -9 m = 0 + -9 Combine like terms: 0 + -9 = -9 m = -9 Simplifying m = -9

Solution

m = {-9, -9}

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