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Simplifying 30m2 + -72 = 102m Reorder the terms: -72 + 30m2 = 102m Solving -72 + 30m2 = 102m Solving for variable 'm'. Reorder the terms: -72 + -102m + 30m2 = 102m + -102m Combine like terms: 102m + -102m = 0 -72 + -102m + 30m2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-12 + -17m + 5m2) = 0 Factor a trinomial. 6((-3 + -5m)(4 + -1m)) = 0 Ignore the factor 6.Subproblem 1
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 = -0.6Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Solution
m = {-0.6, 4}
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