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Simplifying 7n2 + 20n = 68 Reorder the terms: 20n + 7n2 = 68 Solving 20n + 7n2 = 68 Solving for variable 'n'. Reorder the terms: -68 + 20n + 7n2 = 68 + -68 Combine like terms: 68 + -68 = 0 -68 + 20n + 7n2 = 0 Factor a trinomial. (-34 + -7n)(2 + -1n) = 0Subproblem 1
Set the factor '(-34 + -7n)' equal to zero and attempt to solve: Simplifying -34 + -7n = 0 Solving -34 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + -7n = 0 + 34 Combine like terms: -34 + 34 = 0 0 + -7n = 0 + 34 -7n = 0 + 34 Combine like terms: 0 + 34 = 34 -7n = 34 Divide each side by '-7'. n = -4.857142857 Simplifying n = -4.857142857Subproblem 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 = {-4.857142857, 2}
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