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Simplifying 2n2 + -7n = 130 Reorder the terms: -7n + 2n2 = 130 Solving -7n + 2n2 = 130 Solving for variable 'n'. Reorder the terms: -130 + -7n + 2n2 = 130 + -130 Combine like terms: 130 + -130 = 0 -130 + -7n + 2n2 = 0 Factor a trinomial. (-13 + -2n)(10 + -1n) = 0Subproblem 1
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 = -6.5Subproblem 2
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 = 10Solution
n = {-6.5, 10}
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