293=(0.5*9.8)t^2

Solution for 293=(0.5*9.8)t^2 equation:

Simplifying
293 = (0.5 * 9.8) * t2

Multiply 0.5 * 9.8
293 = (4.9) * t2

Solving
293 = 4.9t2

Solving for variable 't'.

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

Add '-4.9t2' to each side of the equation.
293 + -4.9t2 = 4.9t2 + -4.9t2

Combine like terms: 4.9t2 + -4.9t2 = 0.0
293 + -4.9t2 = 0.0

Add '-293' to each side of the equation.
293 + -293 + -4.9t2 = 0.0 + -293

Combine like terms: 293 + -293 = 0
0 + -4.9t2 = 0.0 + -293
-4.9t2 = 0.0 + -293

Combine like terms: 0.0 + -293 = -293
-4.9t2 = -293

Divide each side by '-4.9'.
t2 = 59.79591837

Simplifying
t2 = 59.79591837

Take the square root of each side:
t = {-7.732782059, 7.732782059}