338=(x)(2x)

Solution for 338=(x)(2x) equation:

Simplifying
338 = (x)(2x)

Remove parenthesis around (2x)
338 = x * 2x

Reorder the terms for easier multiplication:
338 = 2x * x

Multiply x * x
338 = 2x2

Solving
338 = 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
338 + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
338 + -2x2 = 0

Add '-338' to each side of the equation.
338 + -338 + -2x2 = 0 + -338

Combine like terms: 338 + -338 = 0
0 + -2x2 = 0 + -338
-2x2 = 0 + -338

Combine like terms: 0 + -338 = -338
-2x2 = -338

Divide each side by '-2'.
x2 = 169

Simplifying
x2 = 169

Take the square root of each side:
x = {-13, 13}