8m^2-14m-15=0

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Solution for 8m^2-14m-15=0 equation:


Simplifying
8m2 + -14m + -15 = 0

Reorder the terms:
-15 + -14m + 8m2 = 0

Solving
-15 + -14m + 8m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-3 + -4m)(5 + -2m) = 0

Subproblem 1

Set the factor '(-3 + -4m)' equal to zero and attempt to solve: Simplifying -3 + -4m = 0 Solving -3 + -4m = 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 + -4m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4m = 0 + 3 -4m = 0 + 3 Combine like terms: 0 + 3 = 3 -4m = 3 Divide each side by '-4'. m = -0.75 Simplifying m = -0.75

Subproblem 2

Set the factor '(5 + -2m)' equal to zero and attempt to solve: Simplifying 5 + -2m = 0 Solving 5 + -2m = 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 + -2m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2m = 0 + -5 -2m = 0 + -5 Combine like terms: 0 + -5 = -5 -2m = -5 Divide each side by '-2'. m = 2.5 Simplifying m = 2.5

Solution

m = {-0.75, 2.5}

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