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Simplifying 5n2 + -2(7n + -3n2) = 0 5n2 + (7n * -2 + -3n2 * -2) = 0 5n2 + (-14n + 6n2) = 0 Reorder the terms: -14n + 5n2 + 6n2 = 0 Combine like terms: 5n2 + 6n2 = 11n2 -14n + 11n2 = 0 Solving -14n + 11n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(-14 + 11n) = 0Subproblem 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 '(-14 + 11n)' equal to zero and attempt to solve: Simplifying -14 + 11n = 0 Solving -14 + 11n = 0 Move all terms containing n to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 11n = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 11n = 0 + 14 11n = 0 + 14 Combine like terms: 0 + 14 = 14 11n = 14 Divide each side by '11'. n = 1.272727273 Simplifying n = 1.272727273Solution
n = {0, 1.272727273}
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