8n(4n+7)=0

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Solution for 8n(4n+7)=0 equation: 


Simplifying
8n(4n + 7) = 0

Reorder the terms:
8n(7 + 4n) = 0
(7 * 8n + 4n * 8n) = 0
(56n + 32n2) = 0

Solving
56n + 32n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '8n'.
8n(7 + 4n) = 0

Ignore the factor 8.

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 '(7 + 4n)' equal to zero and attempt to solve:

Simplifying
7 + 4n = 0

Solving
7 + 4n = 0

Move all terms containing n to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 4n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4n = 0 + -7
4n = 0 + -7

Combine like terms: 0 + -7 = -7
4n = -7

Divide each side by '4'.
n = -1.75

Simplifying
n = -1.75
Solution
n = {0, -1.75}

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