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Simplifying 14m2n3 + 6m2n3 + 3m5 = 0 Combine like terms: 14m2n3 + 6m2n3 = 20m2n3 20m2n3 + 3m5 = 0 Solving 20m2n3 + 3m5 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm2'. m2(20n3 + 3m3) = 0Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve: Simplifying m2 = 0 Solving m2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2 = 0 Take the square root of each side: m = {0}Subproblem 2
Set the factor '(20n3 + 3m3)' equal to zero and attempt to solve: Simplifying 20n3 + 3m3 = 0 Reorder the terms: 3m3 + 20n3 = 0 Solving 3m3 + 20n3 = 0 Move all terms containing m to the left, all other terms to the right. Add '-20n3' to each side of the equation. 3m3 + 20n3 + -20n3 = 0 + -20n3 Combine like terms: 20n3 + -20n3 = 0 3m3 + 0 = 0 + -20n3 3m3 = 0 + -20n3 Remove the zero: 3m3 = -20n3 Divide each side by '3'. m3 = -6.666666667n3 Simplifying m3 = -6.666666667n3 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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