5n(5n+6)=0

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Solution for 5n(5n+6)=0 equation:


Simplifying
5n(5n + 6) = 0

Reorder the terms:
5n(6 + 5n) = 0
(6 * 5n + 5n * 5n) = 0
(30n + 25n2) = 0

Solving
30n + 25n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '5n'.
5n(6 + 5n) = 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 = 0

Subproblem 2

Set the factor '(6 + 5n)' equal to zero and attempt to solve: Simplifying 6 + 5n = 0 Solving 6 + 5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5n = 0 + -6 5n = 0 + -6 Combine like terms: 0 + -6 = -6 5n = -6 Divide each side by '5'. n = -1.2 Simplifying n = -1.2

Solution

n = {0, -1.2}

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