2m^2+2m-180=

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Solution for 2m^2+2m-180= equation:


Simplifying
2m2 + 2m + -180 = 0

Reorder the terms:
-180 + 2m + 2m2 = 0

Solving
-180 + 2m + 2m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-90 + m + m2) = 0

Factor a trinomial.
2((-10 + -1m)(9 + -1m)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-10 + -1m)' equal to zero and attempt to solve: Simplifying -10 + -1m = 0 Solving -10 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1m = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1m = 0 + 10 -1m = 0 + 10 Combine like terms: 0 + 10 = 10 -1m = 10 Divide each side by '-1'. m = -10 Simplifying m = -10

Subproblem 2

Set the factor '(9 + -1m)' equal to zero and attempt to solve: Simplifying 9 + -1m = 0 Solving 9 + -1m = 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 + -1m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1m = 0 + -9 -1m = 0 + -9 Combine like terms: 0 + -9 = -9 -1m = -9 Divide each side by '-1'. m = 9 Simplifying m = 9

Solution

m = {-10, 9}

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