289x^2-46.24=0

Solution for 289x^2-46.24=0 equation:

Simplifying
289x2 + -46.24 = 0

Reorder the terms:
-46.24 + 289x2 = 0

Solving
-46.24 + 289x2 = 0

Solving for variable 'x'.

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

Add '46.24' to each side of the equation.
-46.24 + 46.24 + 289x2 = 0 + 46.24

Combine like terms: -46.24 + 46.24 = 0.00
0.00 + 289x2 = 0 + 46.24
289x2 = 0 + 46.24

Combine like terms: 0 + 46.24 = 46.24
289x2 = 46.24

Divide each side by '289'.
x2 = 0.16

Simplifying
x2 = 0.16

Take the square root of each side:
x = {-0.4, 0.4}