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Simplifying 45n2 = 10n Solving 45n2 = 10n Solving for variable 'n'. Reorder the terms: -10n + 45n2 = 10n + -10n Combine like terms: 10n + -10n = 0 -10n + 45n2 = 0 Factor out the Greatest Common Factor (GCF), '5n'. 5n(-2 + 9n) = 0 Ignore the factor 5.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 '(-2 + 9n)' equal to zero and attempt to solve: Simplifying -2 + 9n = 0 Solving -2 + 9n = 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 + 9n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 9n = 0 + 2 9n = 0 + 2 Combine like terms: 0 + 2 = 2 9n = 2 Divide each side by '9'. n = 0.2222222222 Simplifying n = 0.2222222222Solution
n = {0, 0.2222222222}
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