46=.5(2x)(2x)

Solution for 46=.5(2x)(2x) equation:

Simplifying
46 = 0.5(2x)(2x)

Remove parenthesis around (2x)
46 = 0.5 * 2x(2x)

Remove parenthesis around (2x)
46 = 0.5 * 2x * 2x

Reorder the terms for easier multiplication:
46 = 0.5 * 2 * 2x * x

Multiply 0.5 * 2
46 = 1 * 2x * x

Multiply 1 * 2
46 = 2x * x

Multiply x * x
46 = 2x2

Solving
46 = 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.
46 + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
46 + -2x2 = 0

Add '-46' to each side of the equation.
46 + -46 + -2x2 = 0 + -46

Combine like terms: 46 + -46 = 0
0 + -2x2 = 0 + -46
-2x2 = 0 + -46

Combine like terms: 0 + -46 = -46
-2x2 = -46

Divide each side by '-2'.
x2 = 23

Simplifying
x2 = 23

Take the square root of each side:
x = {-4.795831523, 4.795831523}