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Simplifying (4n + 4)(2x + 8) = 0 Reorder the terms: (4 + 4n)(2x + 8) = 0 Reorder the terms: (4 + 4n)(8 + 2x) = 0 Multiply (4 + 4n) * (8 + 2x) (4(8 + 2x) + 4n * (8 + 2x)) = 0 ((8 * 4 + 2x * 4) + 4n * (8 + 2x)) = 0 ((32 + 8x) + 4n * (8 + 2x)) = 0 (32 + 8x + (8 * 4n + 2x * 4n)) = 0 (32 + 8x + (32n + 8nx)) = 0 Reorder the terms: (32 + 32n + 8nx + 8x) = 0 (32 + 32n + 8nx + 8x) = 0 Solving 32 + 32n + 8nx + 8x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 32n + 8nx + -32 + 8x = 0 + -32 Reorder the terms: 32 + -32 + 32n + 8nx + 8x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 32n + 8nx + 8x = 0 + -32 32n + 8nx + 8x = 0 + -32 Combine like terms: 0 + -32 = -32 32n + 8nx + 8x = -32 Add '-8x' to each side of the equation. 32n + 8nx + 8x + -8x = -32 + -8x Combine like terms: 8x + -8x = 0 32n + 8nx + 0 = -32 + -8x 32n + 8nx = -32 + -8x Reorder the terms: 32 + 32n + 8nx + 8x = -32 + -8x + 32 + 8x Reorder the terms: 32 + 32n + 8nx + 8x = -32 + 32 + -8x + 8x Combine like terms: -32 + 32 = 0 32 + 32n + 8nx + 8x = 0 + -8x + 8x 32 + 32n + 8nx + 8x = -8x + 8x Combine like terms: -8x + 8x = 0 32 + 32n + 8nx + 8x = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(4 + 4n + nx + x) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(4 + 4n + nx + x)' equal to zero and attempt to solve: Simplifying 4 + 4n + nx + x = 0 Solving 4 + 4n + nx + x = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 4n + nx + -4 + x = 0 + -4 Reorder the terms: 4 + -4 + 4n + nx + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4n + nx + x = 0 + -4 4n + nx + x = 0 + -4 Combine like terms: 0 + -4 = -4 4n + nx + x = -4 Add '-1x' to each side of the equation. 4n + nx + x + -1x = -4 + -1x Combine like terms: x + -1x = 0 4n + nx + 0 = -4 + -1x 4n + nx = -4 + -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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