27=.5*3x*x

Solution for 27=.5*3x*x equation:

Simplifying
27 = 0.5 * 3x * x

Multiply 0.5 * 3
27 = 1.5x * x

Multiply x * x
27 = 1.5x2

Solving
27 = 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.
27 + -1.5x2 = 1.5x2 + -1.5x2

Combine like terms: 1.5x2 + -1.5x2 = 0.0
27 + -1.5x2 = 0.0

Add '-27' to each side of the equation.
27 + -27 + -1.5x2 = 0.0 + -27

Combine like terms: 27 + -27 = 0
0 + -1.5x2 = 0.0 + -27
-1.5x2 = 0.0 + -27

Combine like terms: 0.0 + -27 = -27
-1.5x2 = -27

Divide each side by '-1.5'.
x2 = 18

Simplifying
x2 = 18

Take the square root of each side:
x = {-4.242640687, 4.242640687}