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Simplifying 24m4n30 + -40m3n2p2 = 0 Reorder the terms: -40m3n2p2 + 24m4n30 = 0 Solving -40m3n2p2 + 24m4n30 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '8m3n2'. 8m3n2(-5p2 + 3mn28) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'm3n2' equal to zero and attempt to solve: Simplifying m3n2 = 0 Solving m3n2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m3n2 = 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 '(-5p2 + 3mn28)' equal to zero and attempt to solve: Simplifying -5p2 + 3mn28 = 0 Reorder the terms: 3mn28 + -5p2 = 0 Solving 3mn28 + -5p2 = 0 Move all terms containing m to the left, all other terms to the right. Add '5p2' to each side of the equation. 3mn28 + -5p2 + 5p2 = 0 + 5p2 Combine like terms: -5p2 + 5p2 = 0 3mn28 + 0 = 0 + 5p2 3mn28 = 0 + 5p2 Remove the zero: 3mn28 = 5p2 Divide each side by '3n28'. m = 1.666666667n-28p2 Simplifying m = 1.666666667n-28p2Solution
m = {1.666666667n-28p2}
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