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

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


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

Multiply (-5 + -3m) * (3 + -5m)
(-5(3 + -5m) + -3m * (3 + -5m)) = 0
((3 * -5 + -5m * -5) + -3m * (3 + -5m)) = 0
((-15 + 25m) + -3m * (3 + -5m)) = 0
(-15 + 25m + (3 * -3m + -5m * -3m)) = 0
(-15 + 25m + (-9m + 15m2)) = 0

Combine like terms: 25m + -9m = 16m
(-15 + 16m + 15m2) = 0

Solving
-15 + 16m + 15m2 = 0

Solving for variable 'm'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(3 + -5m)' equal to zero and attempt to solve: Simplifying 3 + -5m = 0 Solving 3 + -5m = 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 + -5m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5m = 0 + -3 -5m = 0 + -3 Combine like terms: 0 + -3 = -3 -5m = -3 Divide each side by '-5'. m = 0.6 Simplifying m = 0.6

Solution

m = {-1.666666667, 0.6}

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