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Simplifying 14n2 + -10n + -36 = 0 Reorder the terms: -36 + -10n + 14n2 = 0 Solving -36 + -10n + 14n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2'. 2(-18 + -5n + 7n2) = 0 Factor a trinomial. 2((-9 + -7n)(2 + -1n)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + -7n)' equal to zero and attempt to solve: Simplifying -9 + -7n = 0 Solving -9 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -7n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -7n = 0 + 9 -7n = 0 + 9 Combine like terms: 0 + 9 = 9 -7n = 9 Divide each side by '-7'. n = -1.285714286 Simplifying n = -1.285714286Subproblem 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 = {-1.285714286, 2}
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