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Simplifying -3n(-5n + -2) + -3n2 = 0 Reorder the terms: -3n(-2 + -5n) + -3n2 = 0 (-2 * -3n + -5n * -3n) + -3n2 = 0 (6n + 15n2) + -3n2 = 0 Combine like terms: 15n2 + -3n2 = 12n2 6n + 12n2 = 0 Solving 6n + 12n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '6n'. 6n(1 + 2n) = 0 Ignore the factor 6.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 '(1 + 2n)' equal to zero and attempt to solve: Simplifying 1 + 2n = 0 Solving 1 + 2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2n = 0 + -1 2n = 0 + -1 Combine like terms: 0 + -1 = -1 2n = -1 Divide each side by '2'. n = -0.5 Simplifying n = -0.5Solution
n = {0, -0.5}
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