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Simplifying -7n(2n + 3) = 0 Reorder the terms: -7n(3 + 2n) = 0 (3 * -7n + 2n * -7n) = 0 (-21n + -14n2) = 0 Solving -21n + -14n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-7n'. -7n(3 + 2n) = 0 Ignore the factor -7.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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