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Simplifying 35n2 + -255n = -70 Reorder the terms: -255n + 35n2 = -70 Solving -255n + 35n2 = -70 Solving for variable 'n'. Reorder the terms: 70 + -255n + 35n2 = -70 + 70 Combine like terms: -70 + 70 = 0 70 + -255n + 35n2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(14 + -51n + 7n2) = 0 Factor a trinomial. 5((2 + -7n)(7 + -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 '(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 = {0.2857142857, 7}
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