42=-16t^2+46+6

Solution for 42=-16t^2+46+6 equation:

Simplifying
42 = -16t2 + 46 + 6

Reorder the terms:
42 = 46 + 6 + -16t2

Combine like terms: 46 + 6 = 52
42 = 52 + -16t2

Solving
42 = 52 + -16t2

Solving for variable 't'.

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

Add '16t2' to each side of the equation.
42 + 16t2 = 52 + -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
42 + 16t2 = 52 + 0
42 + 16t2 = 52

Add '-42' to each side of the equation.
42 + -42 + 16t2 = 52 + -42

Combine like terms: 42 + -42 = 0
0 + 16t2 = 52 + -42
16t2 = 52 + -42

Combine like terms: 52 + -42 = 10
16t2 = 10

Divide each side by '16'.
t2 = 0.625

Simplifying
t2 = 0.625

Take the square root of each side:
t = {-0.790569415, 0.790569415}