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Simplifying 4n2 + 36 = 24n Reorder the terms: 36 + 4n2 = 24n Solving 36 + 4n2 = 24n Solving for variable 'n'. Reorder the terms: 36 + -24n + 4n2 = 24n + -24n Combine like terms: 24n + -24n = 0 36 + -24n + 4n2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(9 + -6n + n2) = 0 Factor a trinomial. 4((3 + -1n)(3 + -1n)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3 + -1n)' equal to zero and attempt to solve: Simplifying 3 + -1n = 0 Solving 3 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = 0 + -3 -1n = 0 + -3 Combine like terms: 0 + -3 = -3 -1n = -3 Divide each side by '-1'. n = 3 Simplifying n = 3Subproblem 2
Set the factor '(3 + -1n)' equal to zero and attempt to solve: Simplifying 3 + -1n = 0 Solving 3 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = 0 + -3 -1n = 0 + -3 Combine like terms: 0 + -3 = -3 -1n = -3 Divide each side by '-1'. n = 3 Simplifying n = 3Solution
n = {3, 3}
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