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Simplifying 7n2 + -20n + 12 = 0 Reorder the terms: 12 + -20n + 7n2 = 0 Solving 12 + -20n + 7n2 = 0 Solving for variable 'n'. Factor a trinomial. (6 + -7n)(2 + -1n) = 0Subproblem 1
Set the factor '(6 + -7n)' equal to zero and attempt to solve: Simplifying 6 + -7n = 0 Solving 6 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7n = 0 + -6 -7n = 0 + -6 Combine like terms: 0 + -6 = -6 -7n = -6 Divide each side by '-7'. n = 0.8571428571 Simplifying n = 0.8571428571Subproblem 2
Set the factor '(2 + -1n)' equal to zero and attempt to solve: Simplifying 2 + -1n = 0 Solving 2 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 0 + -2 -1n = 0 + -2 Combine like terms: 0 + -2 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2Solution
n = {0.8571428571, 2}
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