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Simplifying -4n2 + 6n + -16 = -5n2 Reorder the terms: -16 + 6n + -4n2 = -5n2 Solving -16 + 6n + -4n2 = -5n2 Solving for variable 'n'. Combine like terms: -4n2 + 5n2 = 1n2 -16 + 6n + 1n2 = -5n2 + 5n2 Combine like terms: -5n2 + 5n2 = 0 -16 + 6n + 1n2 = 0 Factor a trinomial. (-8 + -1n)(2 + -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 '(2 + -1n)' equal to zero and attempt to solve: Simplifying 2 + -1n = 0 Solving 2 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 0 + -2 -1n = 0 + -2 Combine like terms: 0 + -2 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2Solution
n = {-8, 2}
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