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Simplifying 35n2 + 24n + -35 = 0 Reorder the terms: -35 + 24n + 35n2 = 0 Solving -35 + 24n + 35n2 = 0 Solving for variable 'n'. Factor a trinomial. (-7 + -5n)(5 + -7n) = 0Subproblem 1
Set the factor '(-7 + -5n)' equal to zero and attempt to solve: Simplifying -7 + -5n = 0 Solving -7 + -5n = 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 + -5n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5n = 0 + 7 -5n = 0 + 7 Combine like terms: 0 + 7 = 7 -5n = 7 Divide each side by '-5'. n = -1.4 Simplifying n = -1.4Subproblem 2
Set the factor '(5 + -7n)' equal to zero and attempt to solve: Simplifying 5 + -7n = 0 Solving 5 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7n = 0 + -5 -7n = 0 + -5 Combine like terms: 0 + -5 = -5 -7n = -5 Divide each side by '-7'. n = 0.7142857143 Simplifying n = 0.7142857143Solution
n = {-1.4, 0.7142857143}
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