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Simplifying -3n(-1n + 4) + -1n(3 + 7n) = 0 Reorder the terms: -3n(4 + -1n) + -1n(3 + 7n) = 0 (4 * -3n + -1n * -3n) + -1n(3 + 7n) = 0 (-12n + 3n2) + -1n(3 + 7n) = 0 -12n + 3n2 + (3 * -1n + 7n * -1n) = 0 -12n + 3n2 + (-3n + -7n2) = 0 Reorder the terms: -12n + -3n + 3n2 + -7n2 = 0 Combine like terms: -12n + -3n = -15n -15n + 3n2 + -7n2 = 0 Combine like terms: 3n2 + -7n2 = -4n2 -15n + -4n2 = 0 Solving -15n + -4n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-1n'. -1n(15 + 4n) = 0 Ignore the factor -1.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 '(15 + 4n)' equal to zero and attempt to solve: Simplifying 15 + 4n = 0 Solving 15 + 4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 4n = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4n = 0 + -15 4n = 0 + -15 Combine like terms: 0 + -15 = -15 4n = -15 Divide each side by '4'. n = -3.75 Simplifying n = -3.75Solution
n = {0, -3.75}
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