-8n(6n+7)=0

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Solution for -8n(6n+7)=0 equation: 


Simplifying
-8n(6n + 7) = 0

Reorder the terms:
-8n(7 + 6n) = 0
(7 * -8n + 6n * -8n) = 0
(-56n + -48n2) = 0

Solving
-56n + -48n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '-8n'.
-8n(7 + 6n) = 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 + 6n)' equal to zero and attempt to solve:

Simplifying
7 + 6n = 0

Solving
7 + 6n = 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 + 6n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6n = 0 + -7
6n = 0 + -7

Combine like terms: 0 + -7 = -7
6n = -7

Divide each side by '6'.
n = -1.166666667

Simplifying
n = -1.166666667
Solution
n = {0, -1.166666667}

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