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Simplifying 5n2 + -3n + -140 = 0 Reorder the terms: -140 + -3n + 5n2 = 0 Solving -140 + -3n + 5n2 = 0 Solving for variable 'n'. Factor a trinomial. (-5 + -1n)(28 + -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 '(28 + -5n)' equal to zero and attempt to solve: Simplifying 28 + -5n = 0 Solving 28 + -5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -5n = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -5n = 0 + -28 -5n = 0 + -28 Combine like terms: 0 + -28 = -28 -5n = -28 Divide each side by '-5'. n = 5.6 Simplifying n = 5.6Solution
n = {-5, 5.6}
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