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Simplifying N2 = -6N + 135 Reorder the terms: N2 = 135 + -6N Solving N2 = 135 + -6N Solving for variable 'N'. Reorder the terms: -135 + 6N + N2 = 135 + -6N + -135 + 6N Reorder the terms: -135 + 6N + N2 = 135 + -135 + -6N + 6N Combine like terms: 135 + -135 = 0 -135 + 6N + N2 = 0 + -6N + 6N -135 + 6N + N2 = -6N + 6N Combine like terms: -6N + 6N = 0 -135 + 6N + N2 = 0 Factor a trinomial. (-15 + -1N)(9 + -1N) = 0Subproblem 1
Set the factor '(-15 + -1N)' equal to zero and attempt to solve: Simplifying -15 + -1N = 0 Solving -15 + -1N = 0 Move all terms containing N to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1N = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1N = 0 + 15 -1N = 0 + 15 Combine like terms: 0 + 15 = 15 -1N = 15 Divide each side by '-1'. N = -15 Simplifying N = -15Subproblem 2
Set the factor '(9 + -1N)' equal to zero and attempt to solve: Simplifying 9 + -1N = 0 Solving 9 + -1N = 0 Move all terms containing N to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1N = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1N = 0 + -9 -1N = 0 + -9 Combine like terms: 0 + -9 = -9 -1N = -9 Divide each side by '-1'. N = 9 Simplifying N = 9Solution
N = {-15, 9}
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