3m^2-5m-4=8

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Solution for 3m^2-5m-4=8 equation:


Simplifying
3m2 + -5m + -4 = 8

Reorder the terms:
-4 + -5m + 3m2 = 8

Solving
-4 + -5m + 3m2 = 8

Solving for variable 'm'.

Reorder the terms:
-4 + -8 + -5m + 3m2 = 8 + -8

Combine like terms: -4 + -8 = -12
-12 + -5m + 3m2 = 8 + -8

Combine like terms: 8 + -8 = 0
-12 + -5m + 3m2 = 0

Factor a trinomial.
(-4 + -3m)(3 + -1m) = 0

Subproblem 1

Set the factor '(-4 + -3m)' equal to zero and attempt to solve: Simplifying -4 + -3m = 0 Solving -4 + -3m = 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 + -3m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3m = 0 + 4 -3m = 0 + 4 Combine like terms: 0 + 4 = 4 -3m = 4 Divide each side by '-3'. m = -1.333333333 Simplifying m = -1.333333333

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 = {-1.333333333, 3}

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