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Simplifying 5n2 + -90 = 7n Reorder the terms: -90 + 5n2 = 7n Solving -90 + 5n2 = 7n Solving for variable 'n'. Reorder the terms: -90 + -7n + 5n2 = 7n + -7n Combine like terms: 7n + -7n = 0 -90 + -7n + 5n2 = 0 Factor a trinomial. (-18 + -5n)(5 + -1n) = 0Subproblem 1
Set the factor '(-18 + -5n)' equal to zero and attempt to solve: Simplifying -18 + -5n = 0 Solving -18 + -5n = 0 Move all terms containing n to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -5n = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -5n = 0 + 18 -5n = 0 + 18 Combine like terms: 0 + 18 = 18 -5n = 18 Divide each side by '-5'. n = -3.6 Simplifying n = -3.6Subproblem 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 = {-3.6, 5}
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