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Simplifying m(m + -4)(m + -6)(3m + 2) = 0 Reorder the terms: m(-4 + m)(m + -6)(3m + 2) = 0 Reorder the terms: m(-4 + m)(-6 + m)(3m + 2) = 0 Reorder the terms: m(-4 + m)(-6 + m)(2 + 3m) = 0 Multiply (-4 + m) * (-6 + m) m(-4(-6 + m) + m(-6 + m))(2 + 3m) = 0 m((-6 * -4 + m * -4) + m(-6 + m))(2 + 3m) = 0 m((24 + -4m) + m(-6 + m))(2 + 3m) = 0 m(24 + -4m + (-6 * m + m * m))(2 + 3m) = 0 m(24 + -4m + (-6m + m2))(2 + 3m) = 0 Combine like terms: -4m + -6m = -10m m(24 + -10m + m2)(2 + 3m) = 0 Multiply (24 + -10m + m2) * (2 + 3m) m(24(2 + 3m) + -10m * (2 + 3m) + m2(2 + 3m)) = 0 m((2 * 24 + 3m * 24) + -10m * (2 + 3m) + m2(2 + 3m)) = 0 m((48 + 72m) + -10m * (2 + 3m) + m2(2 + 3m)) = 0 m(48 + 72m + (2 * -10m + 3m * -10m) + m2(2 + 3m)) = 0 m(48 + 72m + (-20m + -30m2) + m2(2 + 3m)) = 0 m(48 + 72m + -20m + -30m2 + (2 * m2 + 3m * m2)) = 0 m(48 + 72m + -20m + -30m2 + (2m2 + 3m3)) = 0 Combine like terms: 72m + -20m = 52m m(48 + 52m + -30m2 + 2m2 + 3m3) = 0 Combine like terms: -30m2 + 2m2 = -28m2 m(48 + 52m + -28m2 + 3m3) = 0 (48 * m + 52m * m + -28m2 * m + 3m3 * m) = 0 (48m + 52m2 + -28m3 + 3m4) = 0 Solving 48m + 52m2 + -28m3 + 3m4 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(48 + 52m + -28m2 + 3m3) = 0Subproblem 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 '(48 + 52m + -28m2 + 3m3)' equal to zero and attempt to solve: Simplifying 48 + 52m + -28m2 + 3m3 = 0 Solving 48 + 52m + -28m2 + 3m3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
m = {0}
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