39=-16t^2+45t+5

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Solution for 39=-16t^2+45t+5 equation: 


Simplifying
39 = -16t2 + 45t + 5

Reorder the terms:
39 = 5 + 45t + -16t2

Solving
39 = 5 + 45t + -16t2

Solving for variable 't'.

Combine like terms: 39 + -5 = 34
34 + -45t + 16t2 = 5 + 45t + -16t2 + -5 + -45t + 16t2

Reorder the terms:
34 + -45t + 16t2 = 5 + -5 + 45t + -45t + -16t2 + 16t2

Combine like terms: 5 + -5 = 0
34 + -45t + 16t2 = 0 + 45t + -45t + -16t2 + 16t2
34 + -45t + 16t2 = 45t + -45t + -16t2 + 16t2

Combine like terms: 45t + -45t = 0
34 + -45t + 16t2 = 0 + -16t2 + 16t2
34 + -45t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
34 + -45t + 16t2 = 0

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

Divide each side by '16'.
2.125 + -2.8125t + t2 = 0

Move the constant term to the right:

Add '-2.125' to each side of the equation.
2.125 + -2.8125t + -2.125 + t2 = 0 + -2.125

Reorder the terms:
2.125 + -2.125 + -2.8125t + t2 = 0 + -2.125

Combine like terms: 2.125 + -2.125 = 0.000
0.000 + -2.8125t + t2 = 0 + -2.125
-2.8125t + t2 = 0 + -2.125

Combine like terms: 0 + -2.125 = -2.125
-2.8125t + t2 = -2.125

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 = -2.125 + 1.977539063

Reorder the terms:
1.977539063 + -2.8125t + t2 = -2.125 + 1.977539063

Combine like terms: -2.125 + 1.977539063 = -0.147460937
1.977539063 + -2.8125t + t2 = -0.147460937

Factor a perfect square on the left side:
(t + -1.40625)(t + -1.40625) = -0.147460937

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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