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Simplifying 448 = 336n + -35n2 Solving 448 = 336n + -35n2 Solving for variable 'n'. Reorder the terms: 448 + -336n + 35n2 = 336n + -336n + -35n2 + 35n2 Combine like terms: 336n + -336n = 0 448 + -336n + 35n2 = 0 + -35n2 + 35n2 448 + -336n + 35n2 = -35n2 + 35n2 Combine like terms: -35n2 + 35n2 = 0 448 + -336n + 35n2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(64 + -48n + 5n2) = 0 Factor a trinomial. 7((8 + -5n)(8 + -1n)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(8 + -5n)' equal to zero and attempt to solve: Simplifying 8 + -5n = 0 Solving 8 + -5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5n = 0 + -8 -5n = 0 + -8 Combine like terms: 0 + -8 = -8 -5n = -8 Divide each side by '-5'. n = 1.6 Simplifying n = 1.6Subproblem 2
Set the factor '(8 + -1n)' equal to zero and attempt to solve: Simplifying 8 + -1n = 0 Solving 8 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = 0 + -8 -1n = 0 + -8 Combine like terms: 0 + -8 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8Solution
n = {1.6, 8}
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