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Simplifying 7n2 + -61n + -90 = 0 Reorder the terms: -90 + -61n + 7n2 = 0 Solving -90 + -61n + 7n2 = 0 Solving for variable 'n'. Factor a trinomial. (-9 + -7n)(10 + -1n) = 0Subproblem 1
Set the factor '(-9 + -7n)' equal to zero and attempt to solve: Simplifying -9 + -7n = 0 Solving -9 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -7n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -7n = 0 + 9 -7n = 0 + 9 Combine like terms: 0 + 9 = 9 -7n = 9 Divide each side by '-7'. n = -1.285714286 Simplifying n = -1.285714286Subproblem 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 = {-1.285714286, 10}
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