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Simplifying m(m + -15) + 5(m + -4) = -41 Reorder the terms: m(-15 + m) + 5(m + -4) = -41 (-15 * m + m * m) + 5(m + -4) = -41 (-15m + m2) + 5(m + -4) = -41 Reorder the terms: -15m + m2 + 5(-4 + m) = -41 -15m + m2 + (-4 * 5 + m * 5) = -41 -15m + m2 + (-20 + 5m) = -41 Reorder the terms: -20 + -15m + 5m + m2 = -41 Combine like terms: -15m + 5m = -10m -20 + -10m + m2 = -41 Solving -20 + -10m + m2 = -41 Solving for variable 'm'. Reorder the terms: -20 + 41 + -10m + m2 = -41 + 41 Combine like terms: -20 + 41 = 21 21 + -10m + m2 = -41 + 41 Combine like terms: -41 + 41 = 0 21 + -10m + m2 = 0 Factor a trinomial. (3 + -1m)(7 + -1m) = 0Subproblem 1
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 = 3Subproblem 2
Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 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 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7Solution
m = {3, 7}
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