196+x^2=9x^2

Solution for 196+x^2=9x^2 equation:

Simplifying
196 + x2 = 9x2

Solving
196 + x2 = 9x2

Solving for variable 'x'.

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

Add '-9x2' to each side of the equation.
196 + x2 + -9x2 = 9x2 + -9x2

Combine like terms: x2 + -9x2 = -8x2
196 + -8x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
196 + -8x2 = 0

Add '-196' to each side of the equation.
196 + -196 + -8x2 = 0 + -196

Combine like terms: 196 + -196 = 0
0 + -8x2 = 0 + -196
-8x2 = 0 + -196

Combine like terms: 0 + -196 = -196
-8x2 = -196

Divide each side by '-8'.
x2 = 24.5

Simplifying
x2 = 24.5

Take the square root of each side:
x = {-4.949747468, 4.949747468}