242=0.5(4x^2)

Solution for 242=0.5(4x^2) equation:

Simplifying
242 = 0.5(4x2)

Remove parenthesis around (4x2)
242 = 0.5 * 4x2

Multiply 0.5 * 4
242 = 2x2

Solving
242 = 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.
242 + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
242 + -2x2 = 0

Add '-242' to each side of the equation.
242 + -242 + -2x2 = 0 + -242

Combine like terms: 242 + -242 = 0
0 + -2x2 = 0 + -242
-2x2 = 0 + -242

Combine like terms: 0 + -242 = -242
-2x2 = -242

Divide each side by '-2'.
x2 = 121

Simplifying
x2 = 121

Take the square root of each side:
x = {-11, 11}