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Simplifying -8m(m + 2) + -19m = 0 Reorder the terms: -8m(2 + m) + -19m = 0 (2 * -8m + m * -8m) + -19m = 0 (-16m + -8m2) + -19m = 0 Reorder the terms: -16m + -19m + -8m2 = 0 Combine like terms: -16m + -19m = -35m -35m + -8m2 = 0 Solving -35m + -8m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '-1m'. -1m(35 + 8m) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(35 + 8m)' equal to zero and attempt to solve: Simplifying 35 + 8m = 0 Solving 35 + 8m = 0 Move all terms containing m to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 8m = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 8m = 0 + -35 8m = 0 + -35 Combine like terms: 0 + -35 = -35 8m = -35 Divide each side by '8'. m = -4.375 Simplifying m = -4.375Solution
m = {0, -4.375}
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