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Simplifying 2n2 + 7n + -130 = 0 Reorder the terms: -130 + 7n + 2n2 = 0 Solving -130 + 7n + 2n2 = 0 Solving for variable 'n'. Factor a trinomial. (-10 + -1n)(13 + -2n) = 0Subproblem 1
Set the factor '(-10 + -1n)' equal to zero and attempt to solve: Simplifying -10 + -1n = 0 Solving -10 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1n = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1n = 0 + 10 -1n = 0 + 10 Combine like terms: 0 + 10 = 10 -1n = 10 Divide each side by '-1'. n = -10 Simplifying n = -10Subproblem 2
Set the factor '(13 + -2n)' equal to zero and attempt to solve: Simplifying 13 + -2n = 0 Solving 13 + -2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2n = 0 + -13 -2n = 0 + -13 Combine like terms: 0 + -13 = -13 -2n = -13 Divide each side by '-2'. n = 6.5 Simplifying n = 6.5Solution
n = {-10, 6.5}
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