5m^2-8m-48=0

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Solution for 5m^2-8m-48=0 equation:


Simplifying
5m2 + -8m + -48 = 0

Reorder the terms:
-48 + -8m + 5m2 = 0

Solving
-48 + -8m + 5m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-12 + -5m)(4 + -1m) = 0

Subproblem 1

Set the factor '(-12 + -5m)' equal to zero and attempt to solve: Simplifying -12 + -5m = 0 Solving -12 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -5m = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -5m = 0 + 12 -5m = 0 + 12 Combine like terms: 0 + 12 = 12 -5m = 12 Divide each side by '-5'. m = -2.4 Simplifying m = -2.4

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 = {-2.4, 4}

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