(2m+7)(3m-5)=

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Solution for (2m+7)(3m-5)= equation:


Simplifying
(2m + 7)(3m + -5) = 0

Reorder the terms:
(7 + 2m)(3m + -5) = 0

Reorder the terms:
(7 + 2m)(-5 + 3m) = 0

Multiply (7 + 2m) * (-5 + 3m)
(7(-5 + 3m) + 2m * (-5 + 3m)) = 0
((-5 * 7 + 3m * 7) + 2m * (-5 + 3m)) = 0
((-35 + 21m) + 2m * (-5 + 3m)) = 0
(-35 + 21m + (-5 * 2m + 3m * 2m)) = 0
(-35 + 21m + (-10m + 6m2)) = 0

Combine like terms: 21m + -10m = 11m
(-35 + 11m + 6m2) = 0

Solving
-35 + 11m + 6m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-7 + -2m)(5 + -3m) = 0

Subproblem 1

Set the factor '(-7 + -2m)' equal to zero and attempt to solve: Simplifying -7 + -2m = 0 Solving -7 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2m = 0 + 7 -2m = 0 + 7 Combine like terms: 0 + 7 = 7 -2m = 7 Divide each side by '-2'. m = -3.5 Simplifying m = -3.5

Subproblem 2

Set the factor '(5 + -3m)' equal to zero and attempt to solve: Simplifying 5 + -3m = 0 Solving 5 + -3m = 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 + -3m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3m = 0 + -5 -3m = 0 + -5 Combine like terms: 0 + -5 = -5 -3m = -5 Divide each side by '-3'. m = 1.666666667 Simplifying m = 1.666666667

Solution

m = {-3.5, 1.666666667}

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