5x^2-4=x^2-4

Solution for 5x^2-4=x^2-4 equation:

Simplifying
5x2 + -4 = x2 + -4

Reorder the terms:
-4 + 5x2 = x2 + -4

Reorder the terms:
-4 + 5x2 = -4 + x2

Add '4' to each side of the equation.
-4 + 4 + 5x2 = -4 + 4 + x2

Combine like terms: -4 + 4 = 0
0 + 5x2 = -4 + 4 + x2
5x2 = -4 + 4 + x2

Combine like terms: -4 + 4 = 0
5x2 = 0 + x2
5x2 = x2

Solving
5x2 = x2

Solving for variable 'x'.

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

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

Combine like terms: 5x2 + -1x2 = 4x2
4x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4x2 = 0

Divide each side by '4'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}