245=.5*10t^2

Solution for 245=.5*10t^2 equation:

Simplifying
245 = 0.5 * 10t2

Multiply 0.5 * 10
245 = 5t2

Solving
245 = 5t2

Solving for variable 't'.

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

Add '-5t2' to each side of the equation.
245 + -5t2 = 5t2 + -5t2

Combine like terms: 5t2 + -5t2 = 0
245 + -5t2 = 0

Add '-245' to each side of the equation.
245 + -245 + -5t2 = 0 + -245

Combine like terms: 245 + -245 = 0
0 + -5t2 = 0 + -245
-5t2 = 0 + -245

Combine like terms: 0 + -245 = -245
-5t2 = -245

Divide each side by '-5'.
t2 = 49

Simplifying
t2 = 49

Take the square root of each side:
t = {-7, 7}