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Simplifying 5n2 + 3n = 36 Reorder the terms: 3n + 5n2 = 36 Solving 3n + 5n2 = 36 Solving for variable 'n'. Reorder the terms: -36 + 3n + 5n2 = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + 3n + 5n2 = 0 Factor a trinomial. (-3 + -1n)(12 + -5n) = 0Subproblem 1
Set the factor '(-3 + -1n)' equal to zero and attempt to solve: Simplifying -3 + -1n = 0 Solving -3 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1n = 0 + 3 -1n = 0 + 3 Combine like terms: 0 + 3 = 3 -1n = 3 Divide each side by '-1'. n = -3 Simplifying n = -3Subproblem 2
Set the factor '(12 + -5n)' equal to zero and attempt to solve: Simplifying 12 + -5n = 0 Solving 12 + -5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5n = 0 + -12 -5n = 0 + -12 Combine like terms: 0 + -12 = -12 -5n = -12 Divide each side by '-5'. n = 2.4 Simplifying n = 2.4Solution
n = {-3, 2.4}
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