5n(6n-7)=0

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Solution for 5n(6n-7)=0 equation: 


Simplifying
5n(6n + -7) = 0

Reorder the terms:
5n(-7 + 6n) = 0
(-7 * 5n + 6n * 5n) = 0
(-35n + 30n2) = 0

Solving
-35n + 30n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '5n'.
5n(-7 + 6n) = 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 '(-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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