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Simplifying 56n2 + -40n = 0 Reorder the terms: -40n + 56n2 = 0 Solving -40n + 56n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '8n'. 8n(-5 + 7n) = 0 Ignore the factor 8.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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