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Simplifying 56n2 + -192n + -128 = 0 Reorder the terms: -128 + -192n + 56n2 = 0 Solving -128 + -192n + 56n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '8'. 8(-16 + -24n + 7n2) = 0 Factor a trinomial. 8((-4 + -7n)(4 + -1n)) = 0 Ignore the factor 8.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 + -1n)' equal to zero and attempt to solve: Simplifying 4 + -1n = 0 Solving 4 + -1n = 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 + -1n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = 0 + -4 -1n = 0 + -4 Combine like terms: 0 + -4 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4Solution
n = {-0.5714285714, 4}
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