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Simplifying (5m + 3)(3m + -7) = 0 Reorder the terms: (3 + 5m)(3m + -7) = 0 Reorder the terms: (3 + 5m)(-7 + 3m) = 0 Multiply (3 + 5m) * (-7 + 3m) (3(-7 + 3m) + 5m * (-7 + 3m)) = 0 ((-7 * 3 + 3m * 3) + 5m * (-7 + 3m)) = 0 ((-21 + 9m) + 5m * (-7 + 3m)) = 0 (-21 + 9m + (-7 * 5m + 3m * 5m)) = 0 (-21 + 9m + (-35m + 15m2)) = 0 Combine like terms: 9m + -35m = -26m (-21 + -26m + 15m2) = 0 Solving -21 + -26m + 15m2 = 0 Solving for variable 'm'. Factor a trinomial. (-3 + -5m)(7 + -3m) = 0Subproblem 1
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 = -0.6Subproblem 2
Set the factor '(7 + -3m)' equal to zero and attempt to solve: Simplifying 7 + -3m = 0 Solving 7 + -3m = 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 + -3m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3m = 0 + -7 -3m = 0 + -7 Combine like terms: 0 + -7 = -7 -3m = -7 Divide each side by '-3'. m = 2.333333333 Simplifying m = 2.333333333Solution
m = {-0.6, 2.333333333}
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