x*x+1200=2x*2x

Solution for x*x+1200=2x*2x equation:

Simplifying
x * x + 1200 = 2x * 2x

Multiply x * x
x2 + 1200 = 2x * 2x

Reorder the terms:
1200 + x2 = 2x * 2x

Reorder the terms for easier multiplication:
1200 + x2 = 2 * 2x * x

Multiply 2 * 2
1200 + x2 = 4x * x

Multiply x * x
1200 + x2 = 4x2

Solving
1200 + x2 = 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
1200 + x2 + -4x2 = 4x2 + -4x2

Combine like terms: x2 + -4x2 = -3x2
1200 + -3x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
1200 + -3x2 = 0

Add '-1200' to each side of the equation.
1200 + -1200 + -3x2 = 0 + -1200

Combine like terms: 1200 + -1200 = 0
0 + -3x2 = 0 + -1200
-3x2 = 0 + -1200

Combine like terms: 0 + -1200 = -1200
-3x2 = -1200

Divide each side by '-3'.
x2 = 400

Simplifying
x2 = 400

Take the square root of each side:
x = {-20, 20}