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Simplifying 8m(3m + -5) = 0 Reorder the terms: 8m(-5 + 3m) = 0 (-5 * 8m + 3m * 8m) = 0 (-40m + 24m2) = 0 Solving -40m + 24m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '8m'. 8m(-5 + 3m) = 0 Ignore the factor 8.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 '(-5 + 3m)' equal to zero and attempt to solve: Simplifying -5 + 3m = 0 Solving -5 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3m = 0 + 5 3m = 0 + 5 Combine like terms: 0 + 5 = 5 3m = 5 Divide each side by '3'. m = 1.666666667 Simplifying m = 1.666666667Solution
m = {0, 1.666666667}
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