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Simplifying 7n2 + 17n + -1830 = 0 Reorder the terms: -1830 + 17n + 7n2 = 0 Solving -1830 + 17n + 7n2 = 0 Solving for variable 'n'. Factor a trinomial. (-122 + -7n)(15 + -1n) = 0Subproblem 1
Set the factor '(-122 + -7n)' equal to zero and attempt to solve: Simplifying -122 + -7n = 0 Solving -122 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '122' to each side of the equation. -122 + 122 + -7n = 0 + 122 Combine like terms: -122 + 122 = 0 0 + -7n = 0 + 122 -7n = 0 + 122 Combine like terms: 0 + 122 = 122 -7n = 122 Divide each side by '-7'. n = -17.42857143 Simplifying n = -17.42857143Subproblem 2
Set the factor '(15 + -1n)' equal to zero and attempt to solve: Simplifying 15 + -1n = 0 Solving 15 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1n = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1n = 0 + -15 -1n = 0 + -15 Combine like terms: 0 + -15 = -15 -1n = -15 Divide each side by '-1'. n = 15 Simplifying n = 15Solution
n = {-17.42857143, 15}
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