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Simplifying (5m + 3) * x(6m + -3n) = 0 Reorder the terms: (3 + 5m) * x(6m + -3n) = 0 Reorder the terms for easier multiplication: x(3 + 5m)(6m + -3n) = 0 Multiply (3 + 5m) * (6m + -3n) x(3(6m + -3n) + 5m * (6m + -3n)) = 0 x((6m * 3 + -3n * 3) + 5m * (6m + -3n)) = 0 x((18m + -9n) + 5m * (6m + -3n)) = 0 x(18m + -9n + (6m * 5m + -3n * 5m)) = 0 Reorder the terms: x(18m + -9n + (-15mn + 30m2)) = 0 x(18m + -9n + (-15mn + 30m2)) = 0 Reorder the terms: x(18m + -15mn + 30m2 + -9n) = 0 x(18m + -15mn + 30m2 + -9n) = 0 (18m * x + -15mn * x + 30m2 * x + -9n * x) = 0 Reorder the terms: (-15mnx + 18mx + 30m2x + -9nx) = 0 (-15mnx + 18mx + 30m2x + -9nx) = 0 Solving -15mnx + 18mx + 30m2x + -9nx = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-5mn + 6m + 10m2 + -3n) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing m to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(-5mn + 6m + 10m2 + -3n)' equal to zero and attempt to solve: Simplifying -5mn + 6m + 10m2 + -3n = 0 Reorder the terms: 6m + -5mn + 10m2 + -3n = 0 Solving 6m + -5mn + 10m2 + -3n = 0 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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