2m^2+32m-72=0

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Solution for 2m^2+32m-72=0 equation:


Simplifying
2m2 + 32m + -72 = 0

Reorder the terms:
-72 + 32m + 2m2 = 0

Solving
-72 + 32m + 2m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-36 + 16m + m2) = 0

Factor a trinomial.
2((-18 + -1m)(2 + -1m)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-18 + -1m)' equal to zero and attempt to solve: Simplifying -18 + -1m = 0 Solving -18 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1m = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1m = 0 + 18 -1m = 0 + 18 Combine like terms: 0 + 18 = 18 -1m = 18 Divide each side by '-1'. m = -18 Simplifying m = -18

Subproblem 2

Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 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 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2

Solution

m = {-18, 2}

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