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Simplifying 12n2 + -55n + -25 = 0 Reorder the terms: -25 + -55n + 12n2 = 0 Solving -25 + -55n + 12n2 = 0 Solving for variable 'n'. Factor a trinomial. (-5 + -12n)(5 + -1n) = 0Subproblem 1
Set the factor '(-5 + -12n)' equal to zero and attempt to solve: Simplifying -5 + -12n = 0 Solving -5 + -12n = 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 + -12n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -12n = 0 + 5 -12n = 0 + 5 Combine like terms: 0 + 5 = 5 -12n = 5 Divide each side by '-12'. n = -0.4166666667 Simplifying n = -0.4166666667Subproblem 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 = {-0.4166666667, 5}
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