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Simplifying (2N)(3n) + -6N = 3N Remove parenthesis around (2N) 2N(3n) + -6N = 3N Remove parenthesis around (3n) 2N * 3n + -6N = 3N Reorder the terms for easier multiplication: 2 * 3N * n + -6N = 3N Multiply 2 * 3 6N * n + -6N = 3N Multiply N * n 6nN + -6N = 3N Reorder the terms: -6N + 6nN = 3N Solving -6N + 6nN = 3N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-3N' to each side of the equation. -6N + -3N + 6nN = 3N + -3N Combine like terms: -6N + -3N = -9N -9N + 6nN = 3N + -3N Combine like terms: 3N + -3N = 0 -9N + 6nN = 0 Factor out the Greatest Common Factor (GCF), '3N'. 3N(-3 + 2n) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'N' equal to zero and attempt to solve: Simplifying N = 0 Solving N = 0 Move all terms containing N to the left, all other terms to the right. Simplifying N = 0Subproblem 2
Set the factor '(-3 + 2n)' equal to zero and attempt to solve: Simplifying -3 + 2n = 0 Solving -3 + 2n = 0 Move all terms containing N to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2n = 0 + 3 2n = 0 + 3 Combine like terms: 0 + 3 = 3 2n = 3 Add '-2n' to each side of the equation. 2n + -2n = 3 + -2n Combine like terms: 2n + -2n = 0 0 = 3 + -2n Simplifying 0 = 3 + -2n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
N = {0}
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