0.5*(8.82*x)*(8.82*x)=4.2

Solution for 0.5*(8.82*x)*(8.82*x)=4.2 equation:

Simplifying
0.5(8.82x)(8.82x) = 4.2

Remove parenthesis around (8.82x)
0.5 * 8.82x(8.82x) = 4.2

Remove parenthesis around (8.82x)
0.5 * 8.82x * 8.82x = 4.2

Reorder the terms for easier multiplication:
0.5 * 8.82 * 8.82x * x = 4.2

Multiply 0.5 * 8.82
4.41 * 8.82x * x = 4.2

Multiply 4.41 * 8.82
38.8962x * x = 4.2

Multiply x * x
38.8962x2 = 4.2

Solving
38.8962x2 = 4.2

Solving for variable 'x'.

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

Divide each side by '38.8962'.
x2 = 0.1079796998

Simplifying
x2 = 0.1079796998

Take the square root of each side:
x = {-0.328602647, 0.328602647}