0.5*59*(x^2)-0.5*59*(13*13)=59*9.81*12

Solution for 0.5*59*(x^2)-0.5*59*(13*13)=59*9.81*12 equation:

Simplifying
0.5 * 59(x2) + -0.5 * 59(13 * 13) = 59 * 9.81 * 12

Multiply 0.5 * 59
29.5x2 + -0.5 * 59(13 * 13) = 59 * 9.81 * 12

Multiply 13 * 13
29.5x2 + -0.5 * 59(169) = 59 * 9.81 * 12

Multiply -0.5 * 59
29.5x2 + -29.5 * 169 = 59 * 9.81 * 12

Multiply -29.5 * 169
29.5x2 + -4985.5 = 59 * 9.81 * 12

Reorder the terms:
-4985.5 + 29.5x2 = 59 * 9.81 * 12

Multiply 59 * 9.81
-4985.5 + 29.5x2 = 578.79 * 12

Multiply 578.79 * 12
-4985.5 + 29.5x2 = 6945.48

Solving
-4985.5 + 29.5x2 = 6945.48

Solving for variable 'x'.

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

Add '4985.5' to each side of the equation.
-4985.5 + 4985.5 + 29.5x2 = 6945.48 + 4985.5

Combine like terms: -4985.5 + 4985.5 = 0.0
0.0 + 29.5x2 = 6945.48 + 4985.5
29.5x2 = 6945.48 + 4985.5

Combine like terms: 6945.48 + 4985.5 = 11930.98
29.5x2 = 11930.98

Divide each side by '29.5'.
x2 = 404.44

Simplifying
x2 = 404.44

Take the square root of each side:
x = {-20.110693673, 20.110693673}