5n^2+9n=0

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Solution for 5n^2+9n=0 equation:


Simplifying
5n2 + 9n = 0

Reorder the terms:
9n + 5n2 = 0

Solving
9n + 5n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(9 + 5n) = 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 '(9 + 5n)' equal to zero and attempt to solve: Simplifying 9 + 5n = 0 Solving 9 + 5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5n = 0 + -9 5n = 0 + -9 Combine like terms: 0 + -9 = -9 5n = -9 Divide each side by '5'. n = -1.8 Simplifying n = -1.8

Solution

n = {0, -1.8}

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