37=-16t^2+45t+5

Solution for 37=-16t^2+45t+5 equation:

Simplifying
37 = -16t2 + 45t + 5

Reorder the terms:
37 = 5 + 45t + -16t2

Solving
37 = 5 + 45t + -16t2

Solving for variable 't'.

Combine like terms: 37 + -5 = 32
32 + -45t + 16t2 = 5 + 45t + -16t2 + -5 + -45t + 16t2

Reorder the terms:
32 + -45t + 16t2 = 5 + -5 + 45t + -45t + -16t2 + 16t2

Combine like terms: 5 + -5 = 0
32 + -45t + 16t2 = 0 + 45t + -45t + -16t2 + 16t2
32 + -45t + 16t2 = 45t + -45t + -16t2 + 16t2

Combine like terms: 45t + -45t = 0
32 + -45t + 16t2 = 0 + -16t2 + 16t2
32 + -45t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
32 + -45t + 16t2 = 0

Begin completing the square.  Divide all terms by
16 the coefficient of the squared term: 

Divide each side by '16'.
2 + -2.8125t + t2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -2.8125t + -2 + t2 = 0 + -2

Reorder the terms:
2 + -2 + -2.8125t + t2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2.8125t + t2 = 0 + -2
-2.8125t + t2 = 0 + -2

Combine like terms: 0 + -2 = -2
-2.8125t + t2 = -2

The t term is -2.8125t.  Take half its coefficient (-1.40625).
Square it (1.977539063) and add it to both sides.

Add '1.977539063' to each side of the equation.
-2.8125t + 1.977539063 + t2 = -2 + 1.977539063

Reorder the terms:
1.977539063 + -2.8125t + t2 = -2 + 1.977539063

Combine like terms: -2 + 1.977539063 = -0.022460937
1.977539063 + -2.8125t + t2 = -0.022460937

Factor a perfect square on the left side:
(t + -1.40625)(t + -1.40625) = -0.022460937

Can't calculate square root of the right side.

The solution to this equation could not be determined.