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Simplifying 7n + -1n2 = -450 Solving 7n + -1n2 = -450 Solving for variable 'n'. Reorder the terms: 450 + 7n + -1n2 = -450 + 450 Combine like terms: -450 + 450 = 0 450 + 7n + -1n2 = 0 Factor a trinomial. (25 + -1n)(18 + n) = 0Subproblem 1
Set the factor '(25 + -1n)' equal to zero and attempt to solve: Simplifying 25 + -1n = 0 Solving 25 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1n = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1n = 0 + -25 -1n = 0 + -25 Combine like terms: 0 + -25 = -25 -1n = -25 Divide each side by '-1'. n = 25 Simplifying n = 25Subproblem 2
Set the factor '(18 + n)' equal to zero and attempt to solve: Simplifying 18 + n = 0 Solving 18 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + n = 0 + -18 Combine like terms: 18 + -18 = 0 0 + n = 0 + -18 n = 0 + -18 Combine like terms: 0 + -18 = -18 n = -18 Simplifying n = -18Solution
n = {25, -18}
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