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Simplifying 6x(5 + -3m) + 3(5m + -4) = 0 (5 * 6x + -3m * 6x) + 3(5m + -4) = 0 Reorder the terms: (-18mx + 30x) + 3(5m + -4) = 0 (-18mx + 30x) + 3(5m + -4) = 0 Reorder the terms: -18mx + 30x + 3(-4 + 5m) = 0 -18mx + 30x + (-4 * 3 + 5m * 3) = 0 -18mx + 30x + (-12 + 15m) = 0 Reorder the terms: -12 + 15m + -18mx + 30x = 0 Solving -12 + 15m + -18mx + 30x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 15m + -18mx + 12 + 30x = 0 + 12 Reorder the terms: -12 + 12 + 15m + -18mx + 30x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 15m + -18mx + 30x = 0 + 12 15m + -18mx + 30x = 0 + 12 Combine like terms: 0 + 12 = 12 15m + -18mx + 30x = 12 Add '-30x' to each side of the equation. 15m + -18mx + 30x + -30x = 12 + -30x Combine like terms: 30x + -30x = 0 15m + -18mx + 0 = 12 + -30x 15m + -18mx = 12 + -30x Reorder the terms: -12 + 15m + -18mx + 30x = 12 + -30x + -12 + 30x Reorder the terms: -12 + 15m + -18mx + 30x = 12 + -12 + -30x + 30x Combine like terms: 12 + -12 = 0 -12 + 15m + -18mx + 30x = 0 + -30x + 30x -12 + 15m + -18mx + 30x = -30x + 30x Combine like terms: -30x + 30x = 0 -12 + 15m + -18mx + 30x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4 + 5m + -6mx + 10x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + 5m + -6mx + 10x)' equal to zero and attempt to solve: Simplifying -4 + 5m + -6mx + 10x = 0 Solving -4 + 5m + -6mx + 10x = 0 Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 5m + -6mx + 4 + 10x = 0 + 4 Reorder the terms: -4 + 4 + 5m + -6mx + 10x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5m + -6mx + 10x = 0 + 4 5m + -6mx + 10x = 0 + 4 Combine like terms: 0 + 4 = 4 5m + -6mx + 10x = 4 Add '-10x' to each side of the equation. 5m + -6mx + 10x + -10x = 4 + -10x Combine like terms: 10x + -10x = 0 5m + -6mx + 0 = 4 + -10x 5m + -6mx = 4 + -10x 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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