400=-16t^2+45t+5

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Solution for 400=-16t^2+45t+5 equation: 


Simplifying
400 = -16t2 + 45t + 5

Reorder the terms:
400 = 5 + 45t + -16t2

Solving
400 = 5 + 45t + -16t2

Solving for variable 't'.

Combine like terms: 400 + -5 = 395
395 + -45t + 16t2 = 5 + 45t + -16t2 + -5 + -45t + 16t2

Reorder the terms:
395 + -45t + 16t2 = 5 + -5 + 45t + -45t + -16t2 + 16t2

Combine like terms: 5 + -5 = 0
395 + -45t + 16t2 = 0 + 45t + -45t + -16t2 + 16t2
395 + -45t + 16t2 = 45t + -45t + -16t2 + 16t2

Combine like terms: 45t + -45t = 0
395 + -45t + 16t2 = 0 + -16t2 + 16t2
395 + -45t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
395 + -45t + 16t2 = 0

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

Divide each side by '16'.
24.6875 + -2.8125t + t2 = 0

Move the constant term to the right:

Add '-24.6875' to each side of the equation.
24.6875 + -2.8125t + -24.6875 + t2 = 0 + -24.6875

Reorder the terms:
24.6875 + -24.6875 + -2.8125t + t2 = 0 + -24.6875

Combine like terms: 24.6875 + -24.6875 = 0.0000
0.0000 + -2.8125t + t2 = 0 + -24.6875
-2.8125t + t2 = 0 + -24.6875

Combine like terms: 0 + -24.6875 = -24.6875
-2.8125t + t2 = -24.6875

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 = -24.6875 + 1.977539063

Reorder the terms:
1.977539063 + -2.8125t + t2 = -24.6875 + 1.977539063

Combine like terms: -24.6875 + 1.977539063 = -22.709960937
1.977539063 + -2.8125t + t2 = -22.709960937

Factor a perfect square on the left side:
(t + -1.40625)(t + -1.40625) = -22.709960937

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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