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Simplifying 5n2 + -36 = -11n Reorder the terms: -36 + 5n2 = -11n Solving -36 + 5n2 = -11n Solving for variable 'n'. Reorder the terms: -36 + 11n + 5n2 = -11n + 11n Combine like terms: -11n + 11n = 0 -36 + 11n + 5n2 = 0 Factor a trinomial. (-4 + -1n)(9 + -5n) = 0Subproblem 1
Set the factor '(-4 + -1n)' equal to zero and attempt to solve: Simplifying -4 + -1n = 0 Solving -4 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1n = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1n = 0 + 4 -1n = 0 + 4 Combine like terms: 0 + 4 = 4 -1n = 4 Divide each side by '-1'. n = -4 Simplifying n = -4Subproblem 2
Set the factor '(9 + -5n)' equal to zero and attempt to solve: Simplifying 9 + -5n = 0 Solving 9 + -5n = 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 + -5n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5n = 0 + -9 -5n = 0 + -9 Combine like terms: 0 + -9 = -9 -5n = -9 Divide each side by '-5'. n = 1.8 Simplifying n = 1.8Solution
n = {-4, 1.8}
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