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Simplifying 35n2 + -195n + -350 = 0 Reorder the terms: -350 + -195n + 35n2 = 0 Solving -350 + -195n + 35n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '5'. 5(-70 + -39n + 7n2) = 0 Factor a trinomial. 5((-10 + -7n)(7 + -1n)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-10 + -7n)' equal to zero and attempt to solve: Simplifying -10 + -7n = 0 Solving -10 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -7n = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -7n = 0 + 10 -7n = 0 + 10 Combine like terms: 0 + 10 = 10 -7n = 10 Divide each side by '-7'. n = -1.428571429 Simplifying n = -1.428571429Subproblem 2
Set the factor '(7 + -1n)' equal to zero and attempt to solve: Simplifying 7 + -1n = 0 Solving 7 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = 0 + -7 -1n = 0 + -7 Combine like terms: 0 + -7 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7Solution
n = {-1.428571429, 7}
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