1n(5)+1n(5x^2-5)=1n(56)

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Solution for 1n(5)+1n(5x^2-5)=1n(56) equation: 


Simplifying
1n(5) + 1n(5x2 + -5) = 1n(56)

Reorder the terms for easier multiplication:
1 * 5n + 1n(5x2 + -5) = 1n(56)

Multiply 1 * 5
5n + 1n(5x2 + -5) = 1n(56)

Reorder the terms:
5n + 1n(-5 + 5x2) = 1n(56)
5n + (-5 * 1n + 5x2 * 1n) = 1n(56)
5n + (-5n + 5nx2) = 1n(56)

Combine like terms: 5n + -5n = 0
0 + 5nx2 = 1n(56)
5nx2 = 1n(56)

Reorder the terms for easier multiplication:
5nx2 = 1 * 56n

Multiply 1 * 56
5nx2 = 56n

Solving
5nx2 = 56n

Solving for variable 'n'.

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

Add '-56n' to each side of the equation.
-56n + 5nx2 = 56n + -56n

Combine like terms: 56n + -56n = 0
-56n + 5nx2 = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-56 + 5x2) = 0


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 '(-56 + 5x2)' equal to zero and attempt to solve:

Simplifying
-56 + 5x2 = 0

Solving
-56 + 5x2 = 0

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

Add '56' to each side of the equation.
-56 + 56 + 5x2 = 0 + 56

Combine like terms: -56 + 56 = 0
0 + 5x2 = 0 + 56
5x2 = 0 + 56

Combine like terms: 0 + 56 = 56
5x2 = 56

Add '-5x2' to each side of the equation.
5x2 + -5x2 = 56 + -5x2

Combine like terms: 5x2 + -5x2 = 0
0 = 56 + -5x2

Simplifying
0 = 56 + -5x2

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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