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Simplifying (8m + 3)(6m + -5) = 0 Reorder the terms: (3 + 8m)(6m + -5) = 0 Reorder the terms: (3 + 8m)(-5 + 6m) = 0 Multiply (3 + 8m) * (-5 + 6m) (3(-5 + 6m) + 8m * (-5 + 6m)) = 0 ((-5 * 3 + 6m * 3) + 8m * (-5 + 6m)) = 0 ((-15 + 18m) + 8m * (-5 + 6m)) = 0 (-15 + 18m + (-5 * 8m + 6m * 8m)) = 0 (-15 + 18m + (-40m + 48m2)) = 0 Combine like terms: 18m + -40m = -22m (-15 + -22m + 48m2) = 0 Solving -15 + -22m + 48m2 = 0 Solving for variable 'm'. Factor a trinomial. (-3 + -8m)(5 + -6m) = 0Subproblem 1
Set the factor '(-3 + -8m)' equal to zero and attempt to solve: Simplifying -3 + -8m = 0 Solving -3 + -8m = 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 + -8m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8m = 0 + 3 -8m = 0 + 3 Combine like terms: 0 + 3 = 3 -8m = 3 Divide each side by '-8'. m = -0.375 Simplifying m = -0.375Subproblem 2
Set the factor '(5 + -6m)' equal to zero and attempt to solve: Simplifying 5 + -6m = 0 Solving 5 + -6m = 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 + -6m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6m = 0 + -5 -6m = 0 + -5 Combine like terms: 0 + -5 = -5 -6m = -5 Divide each side by '-6'. m = 0.8333333333 Simplifying m = 0.8333333333Solution
m = {-0.375, 0.8333333333}
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