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Simplifying n(n) + 2n = 99 Multiply n * n n2 + 2n = 99 Reorder the terms: 2n + n2 = 99 Solving 2n + n2 = 99 Solving for variable 'n'. Reorder the terms: -99 + 2n + n2 = 99 + -99 Combine like terms: 99 + -99 = 0 -99 + 2n + n2 = 0 Factor a trinomial. (-11 + -1n)(9 + -1n) = 0Subproblem 1
Set the factor '(-11 + -1n)' equal to zero and attempt to solve: Simplifying -11 + -1n = 0 Solving -11 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1n = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1n = 0 + 11 -1n = 0 + 11 Combine like terms: 0 + 11 = 11 -1n = 11 Divide each side by '-1'. n = -11 Simplifying n = -11Subproblem 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 = {-11, 9}
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