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Simplifying 35n2 + -65n + -10 = 0 Reorder the terms: -10 + -65n + 35n2 = 0 Solving -10 + -65n + 35n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '5'. 5(-2 + -13n + 7n2) = 0 Factor a trinomial. 5((-1 + -7n)(2 + -1n)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-1 + -7n)' equal to zero and attempt to solve: Simplifying -1 + -7n = 0 Solving -1 + -7n = 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 + -7n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7n = 0 + 1 -7n = 0 + 1 Combine like terms: 0 + 1 = 1 -7n = 1 Divide each side by '-7'. n = -0.1428571429 Simplifying n = -0.1428571429Subproblem 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 = {-0.1428571429, 2}
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