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Simplifying 0 = 70n + -4n2 Solving 0 = 70n + -4n2 Solving for variable 'n'. Remove the zero: -70n + 4n2 = 70n + -4n2 + -70n + 4n2 Reorder the terms: -70n + 4n2 = 70n + -70n + -4n2 + 4n2 Combine like terms: 70n + -70n = 0 -70n + 4n2 = 0 + -4n2 + 4n2 -70n + 4n2 = -4n2 + 4n2 Combine like terms: -4n2 + 4n2 = 0 -70n + 4n2 = 0 Factor out the Greatest Common Factor (GCF), '2n'. 2n(-35 + 2n) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(-35 + 2n)' equal to zero and attempt to solve: Simplifying -35 + 2n = 0 Solving -35 + 2n = 0 Move all terms containing n to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 2n = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 2n = 0 + 35 2n = 0 + 35 Combine like terms: 0 + 35 = 35 2n = 35 Divide each side by '2'. n = 17.5 Simplifying n = 17.5Solution
n = {0, 17.5}
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