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Simplifying -3n(4n + -7) = 0 Reorder the terms: -3n(-7 + 4n) = 0 (-7 * -3n + 4n * -3n) = 0 (21n + -12n2) = 0 Solving 21n + -12n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '3n'. 3n(7 + -4n) = 0 Ignore the factor 3.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 '(7 + -4n)' equal to zero and attempt to solve: Simplifying 7 + -4n = 0 Solving 7 + -4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4n = 0 + -7 -4n = 0 + -7 Combine like terms: 0 + -7 = -7 -4n = -7 Divide each side by '-4'. n = 1.75 Simplifying n = 1.75Solution
n = {0, 1.75}
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