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Simplifying 21n2 + 32n = 64 Reorder the terms: 32n + 21n2 = 64 Solving 32n + 21n2 = 64 Solving for variable 'n'. Reorder the terms: -64 + 32n + 21n2 = 64 + -64 Combine like terms: 64 + -64 = 0 -64 + 32n + 21n2 = 0 Factor a trinomial. (-8 + -3n)(8 + -7n) = 0Subproblem 1
Set the factor '(-8 + -3n)' equal to zero and attempt to solve: Simplifying -8 + -3n = 0 Solving -8 + -3n = 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 + -3n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3n = 0 + 8 -3n = 0 + 8 Combine like terms: 0 + 8 = 8 -3n = 8 Divide each side by '-3'. n = -2.666666667 Simplifying n = -2.666666667Subproblem 2
Set the factor '(8 + -7n)' equal to zero and attempt to solve: Simplifying 8 + -7n = 0 Solving 8 + -7n = 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 + -7n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7n = 0 + -8 -7n = 0 + -8 Combine like terms: 0 + -8 = -8 -7n = -8 Divide each side by '-7'. n = 1.142857143 Simplifying n = 1.142857143Solution
n = {-2.666666667, 1.142857143}
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