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Simplifying (5m + -7)(m + -3) = 0 Reorder the terms: (-7 + 5m)(m + -3) = 0 Reorder the terms: (-7 + 5m)(-3 + m) = 0 Multiply (-7 + 5m) * (-3 + m) (-7(-3 + m) + 5m * (-3 + m)) = 0 ((-3 * -7 + m * -7) + 5m * (-3 + m)) = 0 ((21 + -7m) + 5m * (-3 + m)) = 0 (21 + -7m + (-3 * 5m + m * 5m)) = 0 (21 + -7m + (-15m + 5m2)) = 0 Combine like terms: -7m + -15m = -22m (21 + -22m + 5m2) = 0 Solving 21 + -22m + 5m2 = 0 Solving for variable 'm'. Factor a trinomial. (7 + -5m)(3 + -1m) = 0Subproblem 1
Set the factor '(7 + -5m)' equal to zero and attempt to solve: Simplifying 7 + -5m = 0 Solving 7 + -5m = 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 + -5m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5m = 0 + -7 -5m = 0 + -7 Combine like terms: 0 + -7 = -7 -5m = -7 Divide each side by '-5'. m = 1.4 Simplifying m = 1.4Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 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 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Solution
m = {1.4, 3}
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