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Simplifying (5m + 6)(10m + -8) = 0 Reorder the terms: (6 + 5m)(10m + -8) = 0 Reorder the terms: (6 + 5m)(-8 + 10m) = 0 Multiply (6 + 5m) * (-8 + 10m) (6(-8 + 10m) + 5m * (-8 + 10m)) = 0 ((-8 * 6 + 10m * 6) + 5m * (-8 + 10m)) = 0 ((-48 + 60m) + 5m * (-8 + 10m)) = 0 (-48 + 60m + (-8 * 5m + 10m * 5m)) = 0 (-48 + 60m + (-40m + 50m2)) = 0 Combine like terms: 60m + -40m = 20m (-48 + 20m + 50m2) = 0 Solving -48 + 20m + 50m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(-24 + 10m + 25m2) = 0 Factor a trinomial. 2((-6 + -5m)(4 + -5m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + -5m)' equal to zero and attempt to solve: Simplifying -6 + -5m = 0 Solving -6 + -5m = 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 + -5m = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5m = 0 + 6 -5m = 0 + 6 Combine like terms: 0 + 6 = 6 -5m = 6 Divide each side by '-5'. m = -1.2 Simplifying m = -1.2Subproblem 2
Set the factor '(4 + -5m)' equal to zero and attempt to solve: Simplifying 4 + -5m = 0 Solving 4 + -5m = 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 + -5m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5m = 0 + -4 -5m = 0 + -4 Combine like terms: 0 + -4 = -4 -5m = -4 Divide each side by '-5'. m = 0.8 Simplifying m = 0.8Solution
m = {-1.2, 0.8}
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