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Simplifying 24m3p + 20m2p + -84mp = 0 Reorder the terms: -84mp + 20m2p + 24m3p = 0 Solving -84mp + 20m2p + 24m3p = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4mp'. 4mp(-21 + 5m + 6m2) = 0 Factor a trinomial. 4mp((-7 + -3m)(3 + -2m)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'mp' equal to zero and attempt to solve: Simplifying mp = 0 Solving mp = 0 Move all terms containing m to the left, all other terms to the right. Simplifying mp = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-7 + -3m)' equal to zero and attempt to solve: Simplifying -7 + -3m = 0 Solving -7 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3m = 0 + 7 -3m = 0 + 7 Combine like terms: 0 + 7 = 7 -3m = 7 Divide each side by '-3'. m = -2.333333333 Simplifying m = -2.333333333Subproblem 3
Set the factor '(3 + -2m)' equal to zero and attempt to solve: Simplifying 3 + -2m = 0 Solving 3 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2m = 0 + -3 -2m = 0 + -3 Combine like terms: 0 + -3 = -3 -2m = -3 Divide each side by '-2'. m = 1.5 Simplifying m = 1.5Solution
m = {-2.333333333, 1.5}
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