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Simplifying 50n3 + -2n = 0 Reorder the terms: -2n + 50n3 = 0 Solving -2n + 50n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n'. 2n(-1 + 25n2) = 0 Factor a difference between two squares. 2n((1 + 5n)(-1 + 5n)) = 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 '(1 + 5n)' equal to zero and attempt to solve: Simplifying 1 + 5n = 0 Solving 1 + 5n = 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 + 5n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5n = 0 + -1 5n = 0 + -1 Combine like terms: 0 + -1 = -1 5n = -1 Divide each side by '5'. n = -0.2 Simplifying n = -0.2Subproblem 3
Set the factor '(-1 + 5n)' equal to zero and attempt to solve: Simplifying -1 + 5n = 0 Solving -1 + 5n = 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 + 5n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5n = 0 + 1 5n = 0 + 1 Combine like terms: 0 + 1 = 1 5n = 1 Divide each side by '5'. n = 0.2 Simplifying n = 0.2Solution
n = {0, -0.2, 0.2}
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