(3m+8)(2m-5)=0

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Solution for (3m+8)(2m-5)=0 equation:


Simplifying
(3m + 8)(2m + -5) = 0

Reorder the terms:
(8 + 3m)(2m + -5) = 0

Reorder the terms:
(8 + 3m)(-5 + 2m) = 0

Multiply (8 + 3m) * (-5 + 2m)
(8(-5 + 2m) + 3m * (-5 + 2m)) = 0
((-5 * 8 + 2m * 8) + 3m * (-5 + 2m)) = 0
((-40 + 16m) + 3m * (-5 + 2m)) = 0
(-40 + 16m + (-5 * 3m + 2m * 3m)) = 0
(-40 + 16m + (-15m + 6m2)) = 0

Combine like terms: 16m + -15m = 1m
(-40 + 1m + 6m2) = 0

Solving
-40 + 1m + 6m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-8 + -3m)(5 + -2m) = 0

Subproblem 1

Set the factor '(-8 + -3m)' equal to zero and attempt to solve: Simplifying -8 + -3m = 0 Solving -8 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3m = 0 + 8 -3m = 0 + 8 Combine like terms: 0 + 8 = 8 -3m = 8 Divide each side by '-3'. m = -2.666666667 Simplifying m = -2.666666667

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 = {-2.666666667, 2.5}

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