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Simplifying 59m2 + 276m + -384 = 3m2 + 4m Reorder the terms: -384 + 276m + 59m2 = 3m2 + 4m Reorder the terms: -384 + 276m + 59m2 = 4m + 3m2 Solving -384 + 276m + 59m2 = 4m + 3m2 Solving for variable 'm'. Reorder the terms: -384 + 276m + -4m + 59m2 + -3m2 = 4m + 3m2 + -4m + -3m2 Combine like terms: 276m + -4m = 272m -384 + 272m + 59m2 + -3m2 = 4m + 3m2 + -4m + -3m2 Combine like terms: 59m2 + -3m2 = 56m2 -384 + 272m + 56m2 = 4m + 3m2 + -4m + -3m2 Reorder the terms: -384 + 272m + 56m2 = 4m + -4m + 3m2 + -3m2 Combine like terms: 4m + -4m = 0 -384 + 272m + 56m2 = 0 + 3m2 + -3m2 -384 + 272m + 56m2 = 3m2 + -3m2 Combine like terms: 3m2 + -3m2 = 0 -384 + 272m + 56m2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-48 + 34m + 7m2) = 0 Factor a trinomial. 8((-6 + -1m)(8 + -7m)) = 0 Ignore the factor 8.Subproblem 1
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 = -6Subproblem 2
Set the factor '(8 + -7m)' equal to zero and attempt to solve: Simplifying 8 + -7m = 0 Solving 8 + -7m = 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 + -7m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7m = 0 + -8 -7m = 0 + -8 Combine like terms: 0 + -8 = -8 -7m = -8 Divide each side by '-7'. m = 1.142857143 Simplifying m = 1.142857143Solution
m = {-6, 1.142857143}
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