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Simplifying 5(m2 + -1m + -30) = 0 Reorder the terms: 5(-30 + -1m + m2) = 0 (-30 * 5 + -1m * 5 + m2 * 5) = 0 (-150 + -5m + 5m2) = 0 Solving -150 + -5m + 5m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '5'. 5(-30 + -1m + m2) = 0 Factor a trinomial. 5((-5 + -1m)(6 + -1m)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-5 + -1m)' equal to zero and attempt to solve: Simplifying -5 + -1m = 0 Solving -5 + -1m = 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 + -1m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1m = 0 + 5 -1m = 0 + 5 Combine like terms: 0 + 5 = 5 -1m = 5 Divide each side by '-1'. m = -5 Simplifying m = -5Subproblem 2
Set the factor '(6 + -1m)' equal to zero and attempt to solve: Simplifying 6 + -1m = 0 Solving 6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1m = 0 + -6 -1m = 0 + -6 Combine like terms: 0 + -6 = -6 -1m = -6 Divide each side by '-1'. m = 6 Simplifying m = 6Solution
m = {-5, 6}
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