9n^2=26n

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Solution for 9n^2=26n equation:


Simplifying
9n2 = 26n

Solving
9n2 = 26n

Solving for variable 'n'.

Reorder the terms:
-26n + 9n2 = 26n + -26n

Combine like terms: 26n + -26n = 0
-26n + 9n2 = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-26 + 9n) = 0

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 = 0

Subproblem 2

Set the factor '(-26 + 9n)' equal to zero and attempt to solve: Simplifying -26 + 9n = 0 Solving -26 + 9n = 0 Move all terms containing n to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 9n = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 9n = 0 + 26 9n = 0 + 26 Combine like terms: 0 + 26 = 26 9n = 26 Divide each side by '9'. n = 2.888888889 Simplifying n = 2.888888889

Solution

n = {0, 2.888888889}

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