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Simplifying 7n2 + 11n + -50 = 0 Reorder the terms: -50 + 11n + 7n2 = 0 Solving -50 + 11n + 7n2 = 0 Solving for variable 'n'. Factor a trinomial. (-25 + -7n)(2 + -1n) = 0Subproblem 1
Set the factor '(-25 + -7n)' equal to zero and attempt to solve: Simplifying -25 + -7n = 0 Solving -25 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -7n = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -7n = 0 + 25 -7n = 0 + 25 Combine like terms: 0 + 25 = 25 -7n = 25 Divide each side by '-7'. n = -3.571428571 Simplifying n = -3.571428571Subproblem 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 = {-3.571428571, 2}
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