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Simplifying (x + -3)(2n + 6) = 0 Reorder the terms: (-3 + x)(2n + 6) = 0 Reorder the terms: (-3 + x)(6 + 2n) = 0 Multiply (-3 + x) * (6 + 2n) (-3(6 + 2n) + x(6 + 2n)) = 0 ((6 * -3 + 2n * -3) + x(6 + 2n)) = 0 ((-18 + -6n) + x(6 + 2n)) = 0 (-18 + -6n + (6 * x + 2n * x)) = 0 Reorder the terms: (-18 + -6n + (2nx + 6x)) = 0 (-18 + -6n + (2nx + 6x)) = 0 (-18 + -6n + 2nx + 6x) = 0 Solving -18 + -6n + 2nx + 6x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -6n + 2nx + 18 + 6x = 0 + 18 Reorder the terms: -18 + 18 + -6n + 2nx + 6x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -6n + 2nx + 6x = 0 + 18 -6n + 2nx + 6x = 0 + 18 Combine like terms: 0 + 18 = 18 -6n + 2nx + 6x = 18 Add '-6x' to each side of the equation. -6n + 2nx + 6x + -6x = 18 + -6x Combine like terms: 6x + -6x = 0 -6n + 2nx + 0 = 18 + -6x -6n + 2nx = 18 + -6x Reorder the terms: -18 + -6n + 2nx + 6x = 18 + -6x + -18 + 6x Reorder the terms: -18 + -6n + 2nx + 6x = 18 + -18 + -6x + 6x Combine like terms: 18 + -18 = 0 -18 + -6n + 2nx + 6x = 0 + -6x + 6x -18 + -6n + 2nx + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 -18 + -6n + 2nx + 6x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + -3n + nx + 3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + -3n + nx + 3x)' equal to zero and attempt to solve: Simplifying -9 + -3n + nx + 3x = 0 Solving -9 + -3n + nx + 3x = 0 Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -3n + nx + 9 + 3x = 0 + 9 Reorder the terms: -9 + 9 + -3n + nx + 3x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -3n + nx + 3x = 0 + 9 -3n + nx + 3x = 0 + 9 Combine like terms: 0 + 9 = 9 -3n + nx + 3x = 9 Add '-3x' to each side of the equation. -3n + nx + 3x + -3x = 9 + -3x Combine like terms: 3x + -3x = 0 -3n + nx + 0 = 9 + -3x -3n + nx = 9 + -3x 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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