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Simplifying 3(6 + -1n) = -3(n + -8) * j (6 * 3 + -1n * 3) = -3(n + -8) * j (18 + -3n) = -3(n + -8) * j Reorder the terms: 18 + -3n = -3(-8 + n) * j Reorder the terms for easier multiplication: 18 + -3n = -3j(-8 + n) 18 + -3n = (-8 * -3j + n * -3j) 18 + -3n = (24j + -3jn) Solving 18 + -3n = 24j + -3jn Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3jn' to each side of the equation. 18 + 3jn + -3n = 24j + -3jn + 3jn Combine like terms: -3jn + 3jn = 0 18 + 3jn + -3n = 24j + 0 18 + 3jn + -3n = 24j Add '-18' to each side of the equation. 18 + 3jn + -18 + -3n = -18 + 24j Reorder the terms: 18 + -18 + 3jn + -3n = -18 + 24j Combine like terms: 18 + -18 = 0 0 + 3jn + -3n = -18 + 24j 3jn + -3n = -18 + 24j Reorder the terms: 18 + -24j + 3jn + -3n = -18 + 24j + 18 + -24j Reorder the terms: 18 + -24j + 3jn + -3n = -18 + 18 + 24j + -24j Combine like terms: -18 + 18 = 0 18 + -24j + 3jn + -3n = 0 + 24j + -24j 18 + -24j + 3jn + -3n = 24j + -24j Combine like terms: 24j + -24j = 0 18 + -24j + 3jn + -3n = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(6 + -8j + jn + -1n) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + -8j + jn + -1n)' equal to zero and attempt to solve: Simplifying 6 + -8j + jn + -1n = 0 Solving 6 + -8j + jn + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -8j + jn + -6 + -1n = 0 + -6 Reorder the terms: 6 + -6 + -8j + jn + -1n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -8j + jn + -1n = 0 + -6 -8j + jn + -1n = 0 + -6 Combine like terms: 0 + -6 = -6 -8j + jn + -1n = -6 Add '8j' to each side of the equation. -8j + jn + 8j + -1n = -6 + 8j Reorder the terms: -8j + 8j + jn + -1n = -6 + 8j Combine like terms: -8j + 8j = 0 0 + jn + -1n = -6 + 8j jn + -1n = -6 + 8j 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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