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Simplifying 0 = n2 + 70n Reorder the terms: 0 = 70n + n2 Solving 0 = 70n + n2 Solving for variable 'n'. Remove the zero: -70n + -1n2 = 70n + n2 + -70n + -1n2 Reorder the terms: -70n + -1n2 = 70n + -70n + n2 + -1n2 Combine like terms: 70n + -70n = 0 -70n + -1n2 = 0 + n2 + -1n2 -70n + -1n2 = n2 + -1n2 Combine like terms: n2 + -1n2 = 0 -70n + -1n2 = 0 Factor out the Greatest Common Factor (GCF), '-1n'. -1n(70 + n) = 0 Ignore the factor -1.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 '(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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