8.2x^2-24.6=0

Solution for 8.2x^2-24.6=0 equation:

Simplifying
8.2x2 + -24.6 = 0

Reorder the terms:
-24.6 + 8.2x2 = 0

Solving
-24.6 + 8.2x2 = 0

Solving for variable 'x'.

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

Add '24.6' to each side of the equation.
-24.6 + 24.6 + 8.2x2 = 0 + 24.6

Combine like terms: -24.6 + 24.6 = 0.0
0.0 + 8.2x2 = 0 + 24.6
8.2x2 = 0 + 24.6

Combine like terms: 0 + 24.6 = 24.6
8.2x2 = 24.6

Divide each side by '8.2'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}