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Simplifying 14n2 + -3n + -36 = 0 Reorder the terms: -36 + -3n + 14n2 = 0 Solving -36 + -3n + 14n2 = 0 Solving for variable 'n'. Factor a trinomial. (-3 + -2n)(12 + -7n) = 0Subproblem 1
Set the factor '(-3 + -2n)' equal to zero and attempt to solve: Simplifying -3 + -2n = 0 Solving -3 + -2n = 0 Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2n = 0 + 3 -2n = 0 + 3 Combine like terms: 0 + 3 = 3 -2n = 3 Divide each side by '-2'. n = -1.5 Simplifying n = -1.5Subproblem 2
Set the factor '(12 + -7n)' equal to zero and attempt to solve: Simplifying 12 + -7n = 0 Solving 12 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -7n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -7n = 0 + -12 -7n = 0 + -12 Combine like terms: 0 + -12 = -12 -7n = -12 Divide each side by '-7'. n = 1.714285714 Simplifying n = 1.714285714Solution
n = {-1.5, 1.714285714}
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