2m^2-112=-2m

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Solution for 2m^2-112=-2m equation:


Simplifying
2m2 + -112 = -2m

Reorder the terms:
-112 + 2m2 = -2m

Solving
-112 + 2m2 = -2m

Solving for variable 'm'.

Reorder the terms:
-112 + 2m + 2m2 = -2m + 2m

Combine like terms: -2m + 2m = 0
-112 + 2m + 2m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-56 + m + m2) = 0

Factor a trinomial.
2((-8 + -1m)(7 + -1m)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-8 + -1m)' equal to zero and attempt to solve: Simplifying -8 + -1m = 0 Solving -8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1m = 0 + 8 -1m = 0 + 8 Combine like terms: 0 + 8 = 8 -1m = 8 Divide each side by '-1'. m = -8 Simplifying m = -8

Subproblem 2

Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7

Solution

m = {-8, 7}

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