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Simplifying (6x + -4)(4n + -5) = 0 Reorder the terms: (-4 + 6x)(4n + -5) = 0 Reorder the terms: (-4 + 6x)(-5 + 4n) = 0 Multiply (-4 + 6x) * (-5 + 4n) (-4(-5 + 4n) + 6x * (-5 + 4n)) = 0 ((-5 * -4 + 4n * -4) + 6x * (-5 + 4n)) = 0 ((20 + -16n) + 6x * (-5 + 4n)) = 0 (20 + -16n + (-5 * 6x + 4n * 6x)) = 0 Reorder the terms: (20 + -16n + (24nx + -30x)) = 0 (20 + -16n + (24nx + -30x)) = 0 (20 + -16n + 24nx + -30x) = 0 Solving 20 + -16n + 24nx + -30x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -16n + 24nx + -20 + -30x = 0 + -20 Reorder the terms: 20 + -20 + -16n + 24nx + -30x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -16n + 24nx + -30x = 0 + -20 -16n + 24nx + -30x = 0 + -20 Combine like terms: 0 + -20 = -20 -16n + 24nx + -30x = -20 Add '30x' to each side of the equation. -16n + 24nx + -30x + 30x = -20 + 30x Combine like terms: -30x + 30x = 0 -16n + 24nx + 0 = -20 + 30x -16n + 24nx = -20 + 30x Reorder the terms: 20 + -16n + 24nx + -30x = -20 + 30x + 20 + -30x Reorder the terms: 20 + -16n + 24nx + -30x = -20 + 20 + 30x + -30x Combine like terms: -20 + 20 = 0 20 + -16n + 24nx + -30x = 0 + 30x + -30x 20 + -16n + 24nx + -30x = 30x + -30x Combine like terms: 30x + -30x = 0 20 + -16n + 24nx + -30x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(10 + -8n + 12nx + -15x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + -8n + 12nx + -15x)' equal to zero and attempt to solve: Simplifying 10 + -8n + 12nx + -15x = 0 Solving 10 + -8n + 12nx + -15x = 0 Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -8n + 12nx + -10 + -15x = 0 + -10 Reorder the terms: 10 + -10 + -8n + 12nx + -15x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -8n + 12nx + -15x = 0 + -10 -8n + 12nx + -15x = 0 + -10 Combine like terms: 0 + -10 = -10 -8n + 12nx + -15x = -10 Add '15x' to each side of the equation. -8n + 12nx + -15x + 15x = -10 + 15x Combine like terms: -15x + 15x = 0 -8n + 12nx + 0 = -10 + 15x -8n + 12nx = -10 + 15x 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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