2m^2+12=-11m

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Solution for 2m^2+12=-11m equation:


Simplifying
2m2 + 12 = -11m

Reorder the terms:
12 + 2m2 = -11m

Solving
12 + 2m2 = -11m

Solving for variable 'm'.

Reorder the terms:
12 + 11m + 2m2 = -11m + 11m

Combine like terms: -11m + 11m = 0
12 + 11m + 2m2 = 0

Factor a trinomial.
(4 + m)(3 + 2m) = 0

Subproblem 1

Set the factor '(4 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4

Subproblem 2

Set the factor '(3 + 2m)' equal to zero and attempt to solve: Simplifying 3 + 2m = 0 Solving 3 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2m = 0 + -3 2m = 0 + -3 Combine like terms: 0 + -3 = -3 2m = -3 Divide each side by '2'. m = -1.5 Simplifying m = -1.5

Solution

m = {-4, -1.5}

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