7x^2=x^2+198

Solution for 7x^2=x^2+198 equation:

Simplifying
7x2 = x2 + 198

Reorder the terms:
7x2 = 198 + x2

Solving
7x2 = 198 + 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.
7x2 + -1x2 = 198 + x2 + -1x2

Combine like terms: 7x2 + -1x2 = 6x2
6x2 = 198 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6x2 = 198 + 0
6x2 = 198

Divide each side by '6'.
x2 = 33

Simplifying
x2 = 33

Take the square root of each side:
x = {-5.744562647, 5.744562647}