46.2x^2-251.2+0.4995=0

Solution for 46.2x^2-251.2+0.4995=0 equation:

Simplifying
46.2x2 + -251.2 + 0.4995 = 0

Reorder the terms:
-251.2 + 0.4995 + 46.2x2 = 0

Combine like terms: -251.2 + 0.4995 = -250.7005
-250.7005 + 46.2x2 = 0

Solving
-250.7005 + 46.2x2 = 0

Solving for variable 'x'.

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

Add '250.7005' to each side of the equation.
-250.7005 + 250.7005 + 46.2x2 = 0 + 250.7005

Combine like terms: -250.7005 + 250.7005 = 0.0000
0.0000 + 46.2x2 = 0 + 250.7005
46.2x2 = 0 + 250.7005

Combine like terms: 0 + 250.7005 = 250.7005
46.2x2 = 250.7005

Divide each side by '46.2'.
x2 = 5.426417749

Simplifying
x2 = 5.426417749

Take the square root of each side:
x = {-2.329467267, 2.329467267}