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Simplifying 5n2 + n + -3150 = 0 Reorder the terms: -3150 + n + 5n2 = 0 Solving -3150 + n + 5n2 = 0 Solving for variable 'n'. Factor a trinomial. (-126 + -5n)(25 + -1n) = 0Subproblem 1
Set the factor '(-126 + -5n)' equal to zero and attempt to solve: Simplifying -126 + -5n = 0 Solving -126 + -5n = 0 Move all terms containing n to the left, all other terms to the right. Add '126' to each side of the equation. -126 + 126 + -5n = 0 + 126 Combine like terms: -126 + 126 = 0 0 + -5n = 0 + 126 -5n = 0 + 126 Combine like terms: 0 + 126 = 126 -5n = 126 Divide each side by '-5'. n = -25.2 Simplifying n = -25.2Subproblem 2
Set the factor '(25 + -1n)' equal to zero and attempt to solve: Simplifying 25 + -1n = 0 Solving 25 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1n = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1n = 0 + -25 -1n = 0 + -25 Combine like terms: 0 + -25 = -25 -1n = -25 Divide each side by '-1'. n = 25 Simplifying n = 25Solution
n = {-25.2, 25}
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