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Simplifying 5m2 = -35m + 40 Reorder the terms: 5m2 = 40 + -35m Solving 5m2 = 40 + -35m Solving for variable 'm'. Reorder the terms: -40 + 35m + 5m2 = 40 + -35m + -40 + 35m Reorder the terms: -40 + 35m + 5m2 = 40 + -40 + -35m + 35m Combine like terms: 40 + -40 = 0 -40 + 35m + 5m2 = 0 + -35m + 35m -40 + 35m + 5m2 = -35m + 35m Combine like terms: -35m + 35m = 0 -40 + 35m + 5m2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-8 + 7m + m2) = 0 Factor a trinomial. 5((-8 + -1m)(1 + -1m)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-8 + -1m)' equal to zero and attempt to solve: Simplifying -8 + -1m = 0 Solving -8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1m = 0 + 8 -1m = 0 + 8 Combine like terms: 0 + 8 = 8 -1m = 8 Divide each side by '-1'. m = -8 Simplifying m = -8Subproblem 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Solution
m = {-8, 1}
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