4.75=0(t)+.25*t^2

Solution for 4.75=0(t)+.25*t^2 equation:

Simplifying
4.75 = 0(t) + 0.25t2

Anything times zero is zero.
4.75 = 0t + 0.25t2
Remove the zero:
4.75 = 0.25t2

Solving
4.75 = 0.25t2

Solving for variable 't'.

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

Add '-0.25t2' to each side of the equation.
4.75 + -0.25t2 = 0.25t2 + -0.25t2

Combine like terms: 0.25t2 + -0.25t2 = 0.00
4.75 + -0.25t2 = 0.00

Add '-4.75' to each side of the equation.
4.75 + -4.75 + -0.25t2 = 0.00 + -4.75

Combine like terms: 4.75 + -4.75 = 0.00
0.00 + -0.25t2 = 0.00 + -4.75
-0.25t2 = 0.00 + -4.75

Combine like terms: 0.00 + -4.75 = -4.75
-0.25t2 = -4.75

Divide each side by '-0.25'.
t2 = 19

Simplifying
t2 = 19

Take the square root of each side:
t = {-4.358898944, 4.358898944}