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Simplifying n2 + n + -63 = -7 Reorder the terms: -63 + n + n2 = -7 Solving -63 + n + n2 = -7 Solving for variable 'n'. Reorder the terms: -63 + 7 + n + n2 = -7 + 7 Combine like terms: -63 + 7 = -56 -56 + n + n2 = -7 + 7 Combine like terms: -7 + 7 = 0 -56 + n + n2 = 0 Factor a trinomial. (-8 + -1n)(7 + -1n) = 0Subproblem 1
Set the factor '(-8 + -1n)' equal to zero and attempt to solve: Simplifying -8 + -1n = 0 Solving -8 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1n = 0 + 8 -1n = 0 + 8 Combine like terms: 0 + 8 = 8 -1n = 8 Divide each side by '-1'. n = -8 Simplifying n = -8Subproblem 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 = {-8, 7}
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