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Simplifying 35n2 + -25n + -14 = -4 Reorder the terms: -14 + -25n + 35n2 = -4 Solving -14 + -25n + 35n2 = -4 Solving for variable 'n'. Reorder the terms: -14 + 4 + -25n + 35n2 = -4 + 4 Combine like terms: -14 + 4 = -10 -10 + -25n + 35n2 = -4 + 4 Combine like terms: -4 + 4 = 0 -10 + -25n + 35n2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-2 + -5n + 7n2) = 0 Factor a trinomial. 5((-2 + -7n)(1 + -1n)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-2 + -7n)' equal to zero and attempt to solve: Simplifying -2 + -7n = 0 Solving -2 + -7n = 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 + -7n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7n = 0 + 2 -7n = 0 + 2 Combine like terms: 0 + 2 = 2 -7n = 2 Divide each side by '-7'. n = -0.2857142857 Simplifying n = -0.2857142857Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve: Simplifying 1 + -1n = 0 Solving 1 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 0 + -1 -1n = 0 + -1 Combine like terms: 0 + -1 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1Solution
n = {-0.2857142857, 1}
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