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Simplifying 5n2 = 95 + 6n Solving 5n2 = 95 + 6n Solving for variable 'n'. Reorder the terms: -95 + -6n + 5n2 = 95 + 6n + -95 + -6n Reorder the terms: -95 + -6n + 5n2 = 95 + -95 + 6n + -6n Combine like terms: 95 + -95 = 0 -95 + -6n + 5n2 = 0 + 6n + -6n -95 + -6n + 5n2 = 6n + -6n Combine like terms: 6n + -6n = 0 -95 + -6n + 5n2 = 0 Factor a trinomial. (-19 + -5n)(5 + -1n) = 0Subproblem 1
Set the factor '(-19 + -5n)' equal to zero and attempt to solve: Simplifying -19 + -5n = 0 Solving -19 + -5n = 0 Move all terms containing n to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -5n = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -5n = 0 + 19 -5n = 0 + 19 Combine like terms: 0 + 19 = 19 -5n = 19 Divide each side by '-5'. n = -3.8 Simplifying n = -3.8Subproblem 2
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 = 5Solution
n = {-3.8, 5}
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