40=-4.9t^2+42+40

Solution for 40=-4.9t^2+42+40 equation:

Simplifying
40 = -4.9t2 + 42 + 40

Reorder the terms:
40 = 42 + 40 + -4.9t2

Combine like terms: 42 + 40 = 82
40 = 82 + -4.9t2

Solving
40 = 82 + -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.
40 + 4.9t2 = 82 + -4.9t2 + 4.9t2

Combine like terms: -4.9t2 + 4.9t2 = 0.0
40 + 4.9t2 = 82 + 0.0
40 + 4.9t2 = 82

Add '-40' to each side of the equation.
40 + -40 + 4.9t2 = 82 + -40

Combine like terms: 40 + -40 = 0
0 + 4.9t2 = 82 + -40
4.9t2 = 82 + -40

Combine like terms: 82 + -40 = 42
4.9t2 = 42

Divide each side by '4.9'.
t2 = 8.571428571

Simplifying
t2 = 8.571428571

Take the square root of each side:
t = {-2.927700219, 2.927700219}