2x*2x=412-x^2

Solution for 2x*2x=412-x^2 equation:

Simplifying
2x * 2x = 412 + -1x2

Reorder the terms for easier multiplication:
2 * 2x * x = 412 + -1x2

Multiply 2 * 2
4x * x = 412 + -1x2

Multiply x * x
4x2 = 412 + -1x2

Solving
4x2 = 412 + -1x2

Solving for variable 'x'.

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

Add 'x2' to each side of the equation.
4x2 + x2 = 412 + -1x2 + x2

Combine like terms: 4x2 + x2 = 5x2
5x2 = 412 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
5x2 = 412 + 0
5x2 = 412

Divide each side by '5'.
x2 = 82.4

Simplifying
x2 = 82.4

Take the square root of each side:
x = {-9.077444574, 9.077444574}