2=8(t)-4.9(t)2

Solution for 2=8(t)-4.9(t)2 equation:

Simplifying
2 = 8(t) + -4.9(t) * 2

Reorder the terms for easier multiplication:
2 = 8t + -4.9 * 2t

Multiply -4.9 * 2
2 = 8t + -9.8t

Combine like terms: 8t + -9.8t = -1.8t
2 = -1.8t

Solving
2 = -1.8t

Solving for variable 't'.

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

Add '1.8t' to each side of the equation.
2 + 1.8t = -1.8t + 1.8t

Combine like terms: -1.8t + 1.8t = 0.0
2 + 1.8t = 0.0

Add '-2' to each side of the equation.
2 + -2 + 1.8t = 0.0 + -2

Combine like terms: 2 + -2 = 0
0 + 1.8t = 0.0 + -2
1.8t = 0.0 + -2

Combine like terms: 0.0 + -2 = -2
1.8t = -2

Divide each side by '1.8'.
t = -1.111111111

Simplifying
t = -1.111111111