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Simplifying 9n2 + 83n + -70 = 0 Reorder the terms: -70 + 83n + 9n2 = 0 Solving -70 + 83n + 9n2 = 0 Solving for variable 'n'. Factor a trinomial. (-10 + -1n)(7 + -9n) = 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 '(7 + -9n)' equal to zero and attempt to solve: Simplifying 7 + -9n = 0 Solving 7 + -9n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9n = 0 + -7 -9n = 0 + -7 Combine like terms: 0 + -7 = -7 -9n = -7 Divide each side by '-9'. n = 0.7777777778 Simplifying n = 0.7777777778Solution
n = {-10, 0.7777777778}
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