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Simplifying 70n2 + 50n + -2 = -2 Reorder the terms: -2 + 50n + 70n2 = -2 Add '2' to each side of the equation. -2 + 50n + 2 + 70n2 = -2 + 2 Reorder the terms: -2 + 2 + 50n + 70n2 = -2 + 2 Combine like terms: -2 + 2 = 0 0 + 50n + 70n2 = -2 + 2 50n + 70n2 = -2 + 2 Combine like terms: -2 + 2 = 0 50n + 70n2 = 0 Solving 50n + 70n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '10n'. 10n(5 + 7n) = 0 Ignore the factor 10.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 '(5 + 7n)' equal to zero and attempt to solve: Simplifying 5 + 7n = 0 Solving 5 + 7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7n = 0 + -5 7n = 0 + -5 Combine like terms: 0 + -5 = -5 7n = -5 Divide each side by '7'. n = -0.7142857143 Simplifying n = -0.7142857143Solution
n = {0, -0.7142857143}
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