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Simplifying (2m + 7)(5m + -3) = 0 Reorder the terms: (7 + 2m)(5m + -3) = 0 Reorder the terms: (7 + 2m)(-3 + 5m) = 0 Multiply (7 + 2m) * (-3 + 5m) (7(-3 + 5m) + 2m * (-3 + 5m)) = 0 ((-3 * 7 + 5m * 7) + 2m * (-3 + 5m)) = 0 ((-21 + 35m) + 2m * (-3 + 5m)) = 0 (-21 + 35m + (-3 * 2m + 5m * 2m)) = 0 (-21 + 35m + (-6m + 10m2)) = 0 Combine like terms: 35m + -6m = 29m (-21 + 29m + 10m2) = 0 Solving -21 + 29m + 10m2 = 0 Solving for variable 'm'. Factor a trinomial. (-7 + -2m)(3 + -5m) = 0Subproblem 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 = -3.5Subproblem 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 = 0.6Solution
m = {-3.5, 0.6}
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