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Simplifying -5m3(7n4 + -2mn3 + 6) = 0 Reorder the terms: -5m3(6 + -2mn3 + 7n4) = 0 (6 * -5m3 + -2mn3 * -5m3 + 7n4 * -5m3) = 0 Reorder the terms: (-30m3 + -35m3n4 + 10m4n3) = 0 (-30m3 + -35m3n4 + 10m4n3) = 0 Solving -30m3 + -35m3n4 + 10m4n3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '5m3'. 5m3(-6 + -7n4 + 2mn3) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'm3' equal to zero and attempt to solve: Simplifying m3 = 0 Solving m3 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m3 = 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 '(-6 + -7n4 + 2mn3)' equal to zero and attempt to solve: Simplifying -6 + -7n4 + 2mn3 = 0 Reorder the terms: -6 + 2mn3 + -7n4 = 0 Solving -6 + 2mn3 + -7n4 = 0 Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2mn3 + 6 + -7n4 = 0 + 6 Reorder the terms: -6 + 6 + 2mn3 + -7n4 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2mn3 + -7n4 = 0 + 6 2mn3 + -7n4 = 0 + 6 Combine like terms: 0 + 6 = 6 2mn3 + -7n4 = 6 Add '7n4' to each side of the equation. 2mn3 + -7n4 + 7n4 = 6 + 7n4 Combine like terms: -7n4 + 7n4 = 0 2mn3 + 0 = 6 + 7n4 2mn3 = 6 + 7n4 Divide each side by '2n3'. m = 3n-3 + 3.5n Simplifying m = 3n-3 + 3.5nSolution
m = {3n-3 + 3.5n}
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