0.75*x^2=x^2-19.6

Solution for 0.75*x^2=x^2-19.6 equation:

Simplifying
0.75x2 = x2 + -19.6

Reorder the terms:
0.75x2 = -19.6 + x2

Solving
0.75x2 = -19.6 + 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.
0.75x2 + -1x2 = -19.6 + x2 + -1x2

Combine like terms: 0.75x2 + -1x2 = -0.25x2
-0.25x2 = -19.6 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-0.25x2 = -19.6 + 0
-0.25x2 = -19.6

Divide each side by '-0.25'.
x2 = 78.4

Simplifying
x2 = 78.4

Take the square root of each side:
x = {-8.854377448, 8.854377448}