196=x^2+0.75x^2

Solution for 196=x^2+0.75x^2 equation:

Simplifying
196 = x2 + 0.75x2

Combine like terms: x2 + 0.75x2 = 1.75x2
196 = 1.75x2

Solving
196 = 1.75x2

Solving for variable 'x'.

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

Add '-1.75x2' to each side of the equation.
196 + -1.75x2 = 1.75x2 + -1.75x2

Combine like terms: 1.75x2 + -1.75x2 = 0.00
196 + -1.75x2 = 0.00

Add '-196' to each side of the equation.
196 + -196 + -1.75x2 = 0.00 + -196

Combine like terms: 196 + -196 = 0
0 + -1.75x2 = 0.00 + -196
-1.75x2 = 0.00 + -196

Combine like terms: 0.00 + -196 = -196
-1.75x2 = -196

Divide each side by '-1.75'.
x2 = 112

Simplifying
x2 = 112

Take the square root of each side:
x = {-10.583005244, 10.583005244}