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Simplifying 5(m + -2) + -1m(m + -2) = 0 Reorder the terms: 5(-2 + m) + -1m(m + -2) = 0 (-2 * 5 + m * 5) + -1m(m + -2) = 0 (-10 + 5m) + -1m(m + -2) = 0 Reorder the terms: -10 + 5m + -1m(-2 + m) = 0 -10 + 5m + (-2 * -1m + m * -1m) = 0 -10 + 5m + (2m + -1m2) = 0 Combine like terms: 5m + 2m = 7m -10 + 7m + -1m2 = 0 Solving -10 + 7m + -1m2 = 0 Solving for variable 'm'. Factor a trinomial. (-5 + m)(2 + -1m) = 0Subproblem 1
Set the factor '(-5 + m)' equal to zero and attempt to solve: Simplifying -5 + m = 0 Solving -5 + m = 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 + m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + m = 0 + 5 m = 0 + 5 Combine like terms: 0 + 5 = 5 m = 5 Simplifying m = 5Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Solution
m = {5, 2}
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