1n(30x+2)=1n(-2+66)

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Solution for 1n(30x+2)=1n(-2+66) equation: 


Simplifying
1n(30x + 2) = 1n(-2 + 66)

Reorder the terms:
1n(2 + 30x) = 1n(-2 + 66)
(2 * 1n + 30x * 1n) = 1n(-2 + 66)
(2n + 30nx) = 1n(-2 + 66)

Combine like terms: -2 + 66 = 64
2n + 30nx = 1n(64)

Reorder the terms for easier multiplication:
2n + 30nx = 1 * 64n

Multiply 1 * 64
2n + 30nx = 64n

Solving
2n + 30nx = 64n

Solving for variable 'n'.

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

Add '-64n' to each side of the equation.
2n + -64n + 30nx = 64n + -64n

Combine like terms: 2n + -64n = -62n
-62n + 30nx = 64n + -64n

Combine like terms: 64n + -64n = 0
-62n + 30nx = 0

Factor out the Greatest Common Factor (GCF), '2n'.
2n(-31 + 15x) = 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 '(-31 + 15x)' equal to zero and attempt to solve:

Simplifying
-31 + 15x = 0

Solving
-31 + 15x = 0

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

Add '31' to each side of the equation.
-31 + 31 + 15x = 0 + 31

Combine like terms: -31 + 31 = 0
0 + 15x = 0 + 31
15x = 0 + 31

Combine like terms: 0 + 31 = 31
15x = 31

Add '-15x' to each side of the equation.
15x + -15x = 31 + -15x

Combine like terms: 15x + -15x = 0
0 = 31 + -15x

Simplifying
0 = 31 + -15x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

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