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