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Simplifying (8n + 2)(3x + -6) = 0 Reorder the terms: (2 + 8n)(3x + -6) = 0 Reorder the terms: (2 + 8n)(-6 + 3x) = 0 Multiply (2 + 8n) * (-6 + 3x) (2(-6 + 3x) + 8n * (-6 + 3x)) = 0 ((-6 * 2 + 3x * 2) + 8n * (-6 + 3x)) = 0 ((-12 + 6x) + 8n * (-6 + 3x)) = 0 (-12 + 6x + (-6 * 8n + 3x * 8n)) = 0 (-12 + 6x + (-48n + 24nx)) = 0 Reorder the terms: (-12 + -48n + 24nx + 6x) = 0 (-12 + -48n + 24nx + 6x) = 0 Solving -12 + -48n + 24nx + 6x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -48n + 24nx + 12 + 6x = 0 + 12 Reorder the terms: -12 + 12 + -48n + 24nx + 6x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -48n + 24nx + 6x = 0 + 12 -48n + 24nx + 6x = 0 + 12 Combine like terms: 0 + 12 = 12 -48n + 24nx + 6x = 12 Add '-6x' to each side of the equation. -48n + 24nx + 6x + -6x = 12 + -6x Combine like terms: 6x + -6x = 0 -48n + 24nx + 0 = 12 + -6x -48n + 24nx = 12 + -6x Reorder the terms: -12 + -48n + 24nx + 6x = 12 + -6x + -12 + 6x Reorder the terms: -12 + -48n + 24nx + 6x = 12 + -12 + -6x + 6x Combine like terms: 12 + -12 = 0 -12 + -48n + 24nx + 6x = 0 + -6x + 6x -12 + -48n + 24nx + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 -12 + -48n + 24nx + 6x = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-2 + -8n + 4nx + x) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-2 + -8n + 4nx + x)' equal to zero and attempt to solve: Simplifying -2 + -8n + 4nx + x = 0 Solving -2 + -8n + 4nx + x = 0 Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -8n + 4nx + 2 + x = 0 + 2 Reorder the terms: -2 + 2 + -8n + 4nx + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -8n + 4nx + x = 0 + 2 -8n + 4nx + x = 0 + 2 Combine like terms: 0 + 2 = 2 -8n + 4nx + x = 2 Add '-1x' to each side of the equation. -8n + 4nx + x + -1x = 2 + -1x Combine like terms: x + -1x = 0 -8n + 4nx + 0 = 2 + -1x -8n + 4nx = 2 + -1x 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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