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Simplifying (m + -4)(3m + 5) = 0 Reorder the terms: (-4 + m)(3m + 5) = 0 Reorder the terms: (-4 + m)(5 + 3m) = 0 Multiply (-4 + m) * (5 + 3m) (-4(5 + 3m) + m(5 + 3m)) = 0 ((5 * -4 + 3m * -4) + m(5 + 3m)) = 0 ((-20 + -12m) + m(5 + 3m)) = 0 (-20 + -12m + (5 * m + 3m * m)) = 0 (-20 + -12m + (5m + 3m2)) = 0 Combine like terms: -12m + 5m = -7m (-20 + -7m + 3m2) = 0 Solving -20 + -7m + 3m2 = 0 Solving for variable 'm'. Factor a trinomial. (-5 + -3m)(4 + -1m) = 0Subproblem 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 = -1.666666667Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Solution
m = {-1.666666667, 4}
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