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Simplifying 0 = -14n2 + 25n + 25 Reorder the terms: 0 = 25 + 25n + -14n2 Solving 0 = 25 + 25n + -14n2 Solving for variable 'n'. Combine like terms: 0 + -25 = -25 -25 + -25n + 14n2 = 25 + 25n + -14n2 + -25 + -25n + 14n2 Reorder the terms: -25 + -25n + 14n2 = 25 + -25 + 25n + -25n + -14n2 + 14n2 Combine like terms: 25 + -25 = 0 -25 + -25n + 14n2 = 0 + 25n + -25n + -14n2 + 14n2 -25 + -25n + 14n2 = 25n + -25n + -14n2 + 14n2 Combine like terms: 25n + -25n = 0 -25 + -25n + 14n2 = 0 + -14n2 + 14n2 -25 + -25n + 14n2 = -14n2 + 14n2 Combine like terms: -14n2 + 14n2 = 0 -25 + -25n + 14n2 = 0 Factor a trinomial. (-5 + -7n)(5 + -2n) = 0Subproblem 1
Set the factor '(-5 + -7n)' equal to zero and attempt to solve: Simplifying -5 + -7n = 0 Solving -5 + -7n = 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 + -7n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7n = 0 + 5 -7n = 0 + 5 Combine like terms: 0 + 5 = 5 -7n = 5 Divide each side by '-7'. n = -0.7142857143 Simplifying n = -0.7142857143Subproblem 2
Set the factor '(5 + -2n)' equal to zero and attempt to solve: Simplifying 5 + -2n = 0 Solving 5 + -2n = 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 + -2n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2n = 0 + -5 -2n = 0 + -5 Combine like terms: 0 + -5 = -5 -2n = -5 Divide each side by '-2'. n = 2.5 Simplifying n = 2.5Solution
n = {-0.7142857143, 2.5}
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