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Simplifying 5n2 = -2n Solving 5n2 = -2n Solving for variable 'n'. Reorder the terms: 2n + 5n2 = -2n + 2n Combine like terms: -2n + 2n = 0 2n + 5n2 = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(2 + 5n) = 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 '(2 + 5n)' equal to zero and attempt to solve: Simplifying 2 + 5n = 0 Solving 2 + 5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5n = 0 + -2 5n = 0 + -2 Combine like terms: 0 + -2 = -2 5n = -2 Divide each side by '5'. n = -0.4 Simplifying n = -0.4Solution
n = {0, -0.4}
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