2m^2+2=-5m

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Solution for 2m^2+2=-5m equation:


Simplifying
2m2 + 2 = -5m

Reorder the terms:
2 + 2m2 = -5m

Solving
2 + 2m2 = -5m

Solving for variable 'm'.

Reorder the terms:
2 + 5m + 2m2 = -5m + 5m

Combine like terms: -5m + 5m = 0
2 + 5m + 2m2 = 0

Factor a trinomial.
(2 + m)(1 + 2m) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(1 + 2m)' equal to zero and attempt to solve: Simplifying 1 + 2m = 0 Solving 1 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2m = 0 + -1 2m = 0 + -1 Combine like terms: 0 + -1 = -1 2m = -1 Divide each side by '2'. m = -0.5 Simplifying m = -0.5

Solution

m = {-2, -0.5}

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