8n^2+6n=0

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Solution for 8n^2+6n=0 equation:


Simplifying
8n2 + 6n = 0

Reorder the terms:
6n + 8n2 = 0

Solving
6n + 8n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2n'.
2n(3 + 4n) = 0

Ignore the factor 2.

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 '(3 + 4n)' equal to zero and attempt to solve: Simplifying 3 + 4n = 0 Solving 3 + 4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4n = 0 + -3 4n = 0 + -3 Combine like terms: 0 + -3 = -3 4n = -3 Divide each side by '4'. n = -0.75 Simplifying n = -0.75

Solution

n = {0, -0.75}

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