-6n(7n-8)=0

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


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

Reorder the terms:
-6n(-8 + 7n) = 0
(-8 * -6n + 7n * -6n) = 0
(48n + -42n2) = 0

Solving
48n + -42n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '6n'.
6n(8 + -7n) = 0

Ignore the factor 6.

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 '(8 + -7n)' equal to zero and attempt to solve:

Simplifying
8 + -7n = 0

Solving
8 + -7n = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7n = 0 + -8
-7n = 0 + -8

Combine like terms: 0 + -8 = -8
-7n = -8

Divide each side by '-7'.
n = 1.142857143

Simplifying
n = 1.142857143
Solution
n = {0, 1.142857143}

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