m^2+10m-48=8

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Solution for m^2+10m-48=8 equation:


Simplifying
m2 + 10m + -48 = 8

Reorder the terms:
-48 + 10m + m2 = 8

Solving
-48 + 10m + m2 = 8

Solving for variable 'm'.

Reorder the terms:
-48 + -8 + 10m + m2 = 8 + -8

Combine like terms: -48 + -8 = -56
-56 + 10m + m2 = 8 + -8

Combine like terms: 8 + -8 = 0
-56 + 10m + m2 = 0

Factor a trinomial.
(-14 + -1m)(4 + -1m) = 0

Subproblem 1

Set the factor '(-14 + -1m)' equal to zero and attempt to solve: Simplifying -14 + -1m = 0 Solving -14 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1m = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1m = 0 + 14 -1m = 0 + 14 Combine like terms: 0 + 14 = 14 -1m = 14 Divide each side by '-1'. m = -14 Simplifying m = -14

Subproblem 2

Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4

Solution

m = {-14, 4}

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