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Simplifying 21n2 = 24 + 10n Solving 21n2 = 24 + 10n Solving for variable 'n'. Reorder the terms: -24 + -10n + 21n2 = 24 + 10n + -24 + -10n Reorder the terms: -24 + -10n + 21n2 = 24 + -24 + 10n + -10n Combine like terms: 24 + -24 = 0 -24 + -10n + 21n2 = 0 + 10n + -10n -24 + -10n + 21n2 = 10n + -10n Combine like terms: 10n + -10n = 0 -24 + -10n + 21n2 = 0 Factor a trinomial. (-6 + -7n)(4 + -3n) = 0Subproblem 1
Set the factor '(-6 + -7n)' equal to zero and attempt to solve: Simplifying -6 + -7n = 0 Solving -6 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7n = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7n = 0 + 6 -7n = 0 + 6 Combine like terms: 0 + 6 = 6 -7n = 6 Divide each side by '-7'. n = -0.8571428571 Simplifying n = -0.8571428571Subproblem 2
Set the factor '(4 + -3n)' equal to zero and attempt to solve: Simplifying 4 + -3n = 0 Solving 4 + -3n = 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 + -3n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3n = 0 + -4 -3n = 0 + -4 Combine like terms: 0 + -4 = -4 -3n = -4 Divide each side by '-3'. n = 1.333333333 Simplifying n = 1.333333333Solution
n = {-0.8571428571, 1.333333333}
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