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Simplifying 245n2 + -112 = 56n Reorder the terms: -112 + 245n2 = 56n Solving -112 + 245n2 = 56n Solving for variable 'n'. Reorder the terms: -112 + -56n + 245n2 = 56n + -56n Combine like terms: 56n + -56n = 0 -112 + -56n + 245n2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-16 + -8n + 35n2) = 0 Factor a trinomial. 7((-4 + -7n)(4 + -5n)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-4 + -7n)' equal to zero and attempt to solve: Simplifying -4 + -7n = 0 Solving -4 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7n = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7n = 0 + 4 -7n = 0 + 4 Combine like terms: 0 + 4 = 4 -7n = 4 Divide each side by '-7'. n = -0.5714285714 Simplifying n = -0.5714285714Subproblem 2
Set the factor '(4 + -5n)' equal to zero and attempt to solve: Simplifying 4 + -5n = 0 Solving 4 + -5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5n = 0 + -4 -5n = 0 + -4 Combine like terms: 0 + -4 = -4 -5n = -4 Divide each side by '-5'. n = 0.8 Simplifying n = 0.8Solution
n = {-0.5714285714, 0.8}
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