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Simplifying 640n2 + -1120n + 490 = 0 Reorder the terms: 490 + -1120n + 640n2 = 0 Solving 490 + -1120n + 640n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '10'. 10(49 + -112n + 64n2) = 0 Factor a trinomial. 10((7 + -8n)(7 + -8n)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(7 + -8n)' equal to zero and attempt to solve: Simplifying 7 + -8n = 0 Solving 7 + -8n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8n = 0 + -7 -8n = 0 + -7 Combine like terms: 0 + -7 = -7 -8n = -7 Divide each side by '-8'. n = 0.875 Simplifying n = 0.875Subproblem 2
Set the factor '(7 + -8n)' equal to zero and attempt to solve: Simplifying 7 + -8n = 0 Solving 7 + -8n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8n = 0 + -7 -8n = 0 + -7 Combine like terms: 0 + -7 = -7 -8n = -7 Divide each side by '-8'. n = 0.875 Simplifying n = 0.875Solution
n = {0.875, 0.875}
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