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Simplifying 4n(2n + -3) = 0 Reorder the terms: 4n(-3 + 2n) = 0 (-3 * 4n + 2n * 4n) = 0 (-12n + 8n2) = 0 Solving -12n + 8n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '4n'. 4n(-3 + 2n) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(-3 + 2n)' equal to zero and attempt to solve: Simplifying -3 + 2n = 0 Solving -3 + 2n = 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 + 2n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2n = 0 + 3 2n = 0 + 3 Combine like terms: 0 + 3 = 3 2n = 3 Divide each side by '2'. n = 1.5 Simplifying n = 1.5Solution
n = {0, 1.5}
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