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Simplifying 2n2 + -110 = -9n Reorder the terms: -110 + 2n2 = -9n Solving -110 + 2n2 = -9n Solving for variable 'n'. Reorder the terms: -110 + 9n + 2n2 = -9n + 9n Combine like terms: -9n + 9n = 0 -110 + 9n + 2n2 = 0 Factor a trinomial. (-10 + -1n)(11 + -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 '(11 + -2n)' equal to zero and attempt to solve: Simplifying 11 + -2n = 0 Solving 11 + -2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2n = 0 + -11 -2n = 0 + -11 Combine like terms: 0 + -11 = -11 -2n = -11 Divide each side by '-2'. n = 5.5 Simplifying n = 5.5Solution
n = {-10, 5.5}
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