168=.5(3x)(x)

Solution for 168=.5(3x)(x) equation:

Simplifying
168 = 0.5(3x)(x)

Remove parenthesis around (3x)
168 = 0.5 * 3x(x)

Multiply 0.5 * 3
168 = 1.5x * x

Multiply x * x
168 = 1.5x2

Solving
168 = 1.5x2

Solving for variable 'x'.

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

Add '-1.5x2' to each side of the equation.
168 + -1.5x2 = 1.5x2 + -1.5x2

Combine like terms: 1.5x2 + -1.5x2 = 0.0
168 + -1.5x2 = 0.0

Add '-168' to each side of the equation.
168 + -168 + -1.5x2 = 0.0 + -168

Combine like terms: 168 + -168 = 0
0 + -1.5x2 = 0.0 + -168
-1.5x2 = 0.0 + -168

Combine like terms: 0.0 + -168 = -168
-1.5x2 = -168

Divide each side by '-1.5'.
x2 = 112

Simplifying
x2 = 112

Take the square root of each side:
x = {-10.583005244, 10.583005244}