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Simplifying (7n2 + -3n) + -1(5n2 + 5n) = 0 Reorder the terms: (-3n + 7n2) + -1(5n2 + 5n) = 0 Remove parenthesis around (-3n + 7n2) -3n + 7n2 + -1(5n2 + 5n) = 0 Reorder the terms: -3n + 7n2 + -1(5n + 5n2) = 0 -3n + 7n2 + (5n * -1 + 5n2 * -1) = 0 -3n + 7n2 + (-5n + -5n2) = 0 Reorder the terms: -3n + -5n + 7n2 + -5n2 = 0 Combine like terms: -3n + -5n = -8n -8n + 7n2 + -5n2 = 0 Combine like terms: 7n2 + -5n2 = 2n2 -8n + 2n2 = 0 Solving -8n + 2n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n'. 2n(-4 + n) = 0 Ignore the factor 2.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 '(-4 + n)' equal to zero and attempt to solve: Simplifying -4 + n = 0 Solving -4 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + n = 0 + 4 Combine like terms: -4 + 4 = 0 0 + n = 0 + 4 n = 0 + 4 Combine like terms: 0 + 4 = 4 n = 4 Simplifying n = 4Solution
n = {0, 4}
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