x^2-196=-x^2

Solution for x^2-196=-x^2 equation:

Simplifying
x2 + -196 = -1x2

Reorder the terms:
-196 + x2 = -1x2

Solving
-196 + x2 = -1x2

Solving for variable 'x'.

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

Add 'x2' to each side of the equation.
-196 + x2 + x2 = -1x2 + x2

Combine like terms: x2 + x2 = 2x2
-196 + 2x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-196 + 2x2 = 0

Add '196' to each side of the equation.
-196 + 196 + 2x2 = 0 + 196

Combine like terms: -196 + 196 = 0
0 + 2x2 = 0 + 196
2x2 = 0 + 196

Combine like terms: 0 + 196 = 196
2x2 = 196

Divide each side by '2'.
x2 = 98

Simplifying
x2 = 98

Take the square root of each side:
x = {-9.899494937, 9.899494937}