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Simplifying 6n2 + -35n + 25 = 0 Reorder the terms: 25 + -35n + 6n2 = 0 Solving 25 + -35n + 6n2 = 0 Solving for variable 'n'. Factor a trinomial. (5 + -6n)(5 + -1n) = 0Subproblem 1
Set the factor '(5 + -6n)' equal to zero and attempt to solve: Simplifying 5 + -6n = 0 Solving 5 + -6n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6n = 0 + -5 -6n = 0 + -5 Combine like terms: 0 + -5 = -5 -6n = -5 Divide each side by '-6'. n = 0.8333333333 Simplifying n = 0.8333333333Subproblem 2
Set the factor '(5 + -1n)' equal to zero and attempt to solve: Simplifying 5 + -1n = 0 Solving 5 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1n = 0 + -5 -1n = 0 + -5 Combine like terms: 0 + -5 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5Solution
n = {0.8333333333, 5}
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