m^2-40=-3m

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Solution for m^2-40=-3m equation:


Simplifying
m2 + -40 = -3m

Reorder the terms:
-40 + m2 = -3m

Solving
-40 + m2 = -3m

Solving for variable 'm'.

Reorder the terms:
-40 + 3m + m2 = -3m + 3m

Combine like terms: -3m + 3m = 0
-40 + 3m + m2 = 0

Factor a trinomial.
(-8 + -1m)(5 + -1m) = 0

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 '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5

Solution

m = {-8, 5}

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