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Simplifying 15m4n3 + -25m7n + 30m4n8 = 0 Reorder the terms: 15m4n3 + 30m4n8 + -25m7n = 0 Solving 15m4n3 + 30m4n8 + -25m7n = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '5m4n'. 5m4n(3n2 + 6n7 + -5m3) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'm4n' equal to zero and attempt to solve: Simplifying m4n = 0 Solving m4n = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m4n = 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 '(3n2 + 6n7 + -5m3)' equal to zero and attempt to solve: Simplifying 3n2 + 6n7 + -5m3 = 0 Reorder the terms: -5m3 + 3n2 + 6n7 = 0 Solving -5m3 + 3n2 + 6n7 = 0 Move all terms containing m to the left, all other terms to the right. Add '-3n2' to each side of the equation. -5m3 + 3n2 + -3n2 + 6n7 = 0 + -3n2 Combine like terms: 3n2 + -3n2 = 0 -5m3 + 0 + 6n7 = 0 + -3n2 -5m3 + 6n7 = 0 + -3n2 Remove the zero: -5m3 + 6n7 = -3n2 Add '-6n7' to each side of the equation. -5m3 + 6n7 + -6n7 = -3n2 + -6n7 Combine like terms: 6n7 + -6n7 = 0 -5m3 + 0 = -3n2 + -6n7 -5m3 = -3n2 + -6n7 Divide each side by '-5'. m3 = 0.6n2 + 1.2n7 Simplifying m3 = 0.6n2 + 1.2n7 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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