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Simplifying 35n2 + -13n + -12 = 0 Reorder the terms: -12 + -13n + 35n2 = 0 Solving -12 + -13n + 35n2 = 0 Solving for variable 'n'. Factor a trinomial. (-3 + -7n)(4 + -5n) = 0Subproblem 1
Set the factor '(-3 + -7n)' equal to zero and attempt to solve: Simplifying -3 + -7n = 0 Solving -3 + -7n = 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 + -7n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7n = 0 + 3 -7n = 0 + 3 Combine like terms: 0 + 3 = 3 -7n = 3 Divide each side by '-7'. n = -0.4285714286 Simplifying n = -0.4285714286Subproblem 2
Set the factor '(4 + -5n)' equal to zero and attempt to solve: Simplifying 4 + -5n = 0 Solving 4 + -5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5n = 0 + -4 -5n = 0 + -4 Combine like terms: 0 + -4 = -4 -5n = -4 Divide each side by '-5'. n = 0.8 Simplifying n = 0.8Solution
n = {-0.4285714286, 0.8}
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