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Simplifying 5n2 + -80 = -9n Reorder the terms: -80 + 5n2 = -9n Solving -80 + 5n2 = -9n Solving for variable 'n'. Reorder the terms: -80 + 9n + 5n2 = -9n + 9n Combine like terms: -9n + 9n = 0 -80 + 9n + 5n2 = 0 Factor a trinomial. (-5 + -1n)(16 + -5n) = 0Subproblem 1
Set the factor '(-5 + -1n)' equal to zero and attempt to solve: Simplifying -5 + -1n = 0 Solving -5 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1n = 0 + 5 -1n = 0 + 5 Combine like terms: 0 + 5 = 5 -1n = 5 Divide each side by '-1'. n = -5 Simplifying n = -5Subproblem 2
Set the factor '(16 + -5n)' equal to zero and attempt to solve: Simplifying 16 + -5n = 0 Solving 16 + -5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -5n = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -5n = 0 + -16 -5n = 0 + -16 Combine like terms: 0 + -16 = -16 -5n = -16 Divide each side by '-5'. n = 3.2 Simplifying n = 3.2Solution
n = {-5, 3.2}
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