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Simplifying -63 = -16n + n2 Solving -63 = -16n + n2 Solving for variable 'n'. Reorder the terms: -63 + 16n + -1n2 = -16n + 16n + n2 + -1n2 Combine like terms: -16n + 16n = 0 -63 + 16n + -1n2 = 0 + n2 + -1n2 -63 + 16n + -1n2 = n2 + -1n2 Combine like terms: n2 + -1n2 = 0 -63 + 16n + -1n2 = 0 Factor a trinomial. (-9 + n)(7 + -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 '(7 + -1n)' equal to zero and attempt to solve: Simplifying 7 + -1n = 0 Solving 7 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = 0 + -7 -1n = 0 + -7 Combine like terms: 0 + -7 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7Solution
n = {9, 7}
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