5x^2-48=x^2

Solution for 5x^2-48=x^2 equation:

Simplifying
5x2 + -48 = x2

Reorder the terms:
-48 + 5x2 = x2

Solving
-48 + 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.
-48 + 5x2 + -1x2 = x2 + -1x2

Combine like terms: 5x2 + -1x2 = 4x2
-48 + 4x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-48 + 4x2 = 0

Add '48' to each side of the equation.
-48 + 48 + 4x2 = 0 + 48

Combine like terms: -48 + 48 = 0
0 + 4x2 = 0 + 48
4x2 = 0 + 48

Combine like terms: 0 + 48 = 48
4x2 = 48

Divide each side by '4'.
x2 = 12

Simplifying
x2 = 12

Take the square root of each side:
x = {-3.464101615, 3.464101615}