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Simplifying 9n2 = 49n Solving 9n2 = 49n Solving for variable 'n'. Reorder the terms: -49n + 9n2 = 49n + -49n Combine like terms: 49n + -49n = 0 -49n + 9n2 = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-49 + 9n) = 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 '(-49 + 9n)' equal to zero and attempt to solve: Simplifying -49 + 9n = 0 Solving -49 + 9n = 0 Move all terms containing n to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 9n = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 9n = 0 + 49 9n = 0 + 49 Combine like terms: 0 + 49 = 49 9n = 49 Divide each side by '9'. n = 5.444444444 Simplifying n = 5.444444444Solution
n = {0, 5.444444444}
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