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