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Simplifying -45 + 14n = n2 Solving -45 + 14n = n2 Solving for variable 'n'. Combine like terms: n2 + -1n2 = 0 -45 + 14n + -1n2 = 0 Factor a trinomial. (-9 + n)(5 + -1n) = 0Subproblem 1
Set the factor '(-9 + n)' equal to zero and attempt to solve: Simplifying -9 + n = 0 Solving -9 + n = 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 + n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + n = 0 + 9 n = 0 + 9 Combine like terms: 0 + 9 = 9 n = 9 Simplifying n = 9Subproblem 2
Set the factor '(5 + -1n)' equal to zero and attempt to solve: Simplifying 5 + -1n = 0 Solving 5 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1n = 0 + -5 -1n = 0 + -5 Combine like terms: 0 + -5 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5Solution
n = {9, 5}
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