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Simplifying 4n2 + n + 5 = 5 Reorder the terms: 5 + n + 4n2 = 5 Add '-5' to each side of the equation. 5 + n + -5 + 4n2 = 5 + -5 Reorder the terms: 5 + -5 + n + 4n2 = 5 + -5 Combine like terms: 5 + -5 = 0 0 + n + 4n2 = 5 + -5 n + 4n2 = 5 + -5 Combine like terms: 5 + -5 = 0 n + 4n2 = 0 Solving n + 4n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(1 + 4n) = 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 '(1 + 4n)' equal to zero and attempt to solve: Simplifying 1 + 4n = 0 Solving 1 + 4n = 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 + 4n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4n = 0 + -1 4n = 0 + -1 Combine like terms: 0 + -1 = -1 4n = -1 Divide each side by '4'. n = -0.25 Simplifying n = -0.25Solution
n = {0, -0.25}
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