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Simplifying 4N2 + -23N + 33N = 0 Reorder the terms: -23N + 33N + 4N2 = 0 Combine like terms: -23N + 33N = 10N 10N + 4N2 = 0 Solving 10N + 4N2 = 0 Solving for variable 'N'. Factor out the Greatest Common Factor (GCF), '2N'. 2N(5 + 2N) = 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 '(5 + 2N)' equal to zero and attempt to solve: Simplifying 5 + 2N = 0 Solving 5 + 2N = 0 Move all terms containing N to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2N = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2N = 0 + -5 2N = 0 + -5 Combine like terms: 0 + -5 = -5 2N = -5 Divide each side by '2'. N = -2.5 Simplifying N = -2.5Solution
N = {0, -2.5}
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