m^2+2m=48

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Solution for m^2+2m=48 equation:


Simplifying
m2 + 2m = 48

Reorder the terms:
2m + m2 = 48

Solving
2m + m2 = 48

Solving for variable 'm'.

Reorder the terms:
-48 + 2m + m2 = 48 + -48

Combine like terms: 48 + -48 = 0
-48 + 2m + m2 = 0

Factor a trinomial.
(-8 + -1m)(6 + -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 '(6 + -1m)' equal to zero and attempt to solve: Simplifying 6 + -1m = 0 Solving 6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1m = 0 + -6 -1m = 0 + -6 Combine like terms: 0 + -6 = -6 -1m = -6 Divide each side by '-1'. m = 6 Simplifying m = 6

Solution

m = {-8, 6}

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