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Simplifying 7n2 + -36n + 45 = 0 Reorder the terms: 45 + -36n + 7n2 = 0 Solving 45 + -36n + 7n2 = 0 Solving for variable 'n'. Factor a trinomial. (15 + -7n)(3 + -1n) = 0Subproblem 1
Set the factor '(15 + -7n)' equal to zero and attempt to solve: Simplifying 15 + -7n = 0 Solving 15 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -7n = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -7n = 0 + -15 -7n = 0 + -15 Combine like terms: 0 + -15 = -15 -7n = -15 Divide each side by '-7'. n = 2.142857143 Simplifying n = 2.142857143Subproblem 2
Set the factor '(3 + -1n)' equal to zero and attempt to solve: Simplifying 3 + -1n = 0 Solving 3 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = 0 + -3 -1n = 0 + -3 Combine like terms: 0 + -3 = -3 -1n = -3 Divide each side by '-1'. n = 3 Simplifying n = 3Solution
n = {2.142857143, 3}
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