(x^2-1)=(5x-1)

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

Simplifying
(x2 + -1) = (5x + -1)

Reorder the terms:
(-1 + x2) = (5x + -1)

Remove parenthesis around (-1 + x2)
-1 + x2 = (5x + -1)

Reorder the terms:
-1 + x2 = (-1 + 5x)

Remove parenthesis around (-1 + 5x)
-1 + x2 = -1 + 5x

Add '1' to each side of the equation.
-1 + 1 + x2 = -1 + 1 + 5x

Combine like terms: -1 + 1 = 0
0 + x2 = -1 + 1 + 5x
x2 = -1 + 1 + 5x

Combine like terms: -1 + 1 = 0
x2 = 0 + 5x
x2 = 5x

Solving
x2 = 5x

Solving for variable 'x'.

Reorder the terms:
-5x + x2 = 5x + -5x

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

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

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-5 + x)' equal to zero and attempt to solve:

Simplifying
-5 + x = 0

Solving
-5 + x = 0

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

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

Combine like terms: -5 + 5 = 0
0 + x = 0 + 5
x = 0 + 5

Combine like terms: 0 + 5 = 5
x = 5

Simplifying
x = 5
Solution
x = {0, 5}