m^2+2m-7=8

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Solution for m^2+2m-7=8 equation:


Simplifying
m2 + 2m + -7 = 8

Reorder the terms:
-7 + 2m + m2 = 8

Solving
-7 + 2m + m2 = 8

Solving for variable 'm'.

Reorder the terms:
-7 + -8 + 2m + m2 = 8 + -8

Combine like terms: -7 + -8 = -15
-15 + 2m + m2 = 8 + -8

Combine like terms: 8 + -8 = 0
-15 + 2m + m2 = 0

Factor a trinomial.
(-5 + -1m)(3 + -1m) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3

Solution

m = {-5, 3}

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