30=-16t^2+40t-27

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Solution for 30=-16t^2+40t-27 equation: 


Simplifying
30 = -16t2 + 40t + -27

Reorder the terms:
30 = -27 + 40t + -16t2

Solving
30 = -27 + 40t + -16t2

Solving for variable 't'.

Combine like terms: 30 + 27 = 57
57 + -40t + 16t2 = -27 + 40t + -16t2 + 27 + -40t + 16t2

Reorder the terms:
57 + -40t + 16t2 = -27 + 27 + 40t + -40t + -16t2 + 16t2

Combine like terms: -27 + 27 = 0
57 + -40t + 16t2 = 0 + 40t + -40t + -16t2 + 16t2
57 + -40t + 16t2 = 40t + -40t + -16t2 + 16t2

Combine like terms: 40t + -40t = 0
57 + -40t + 16t2 = 0 + -16t2 + 16t2
57 + -40t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
57 + -40t + 16t2 = 0

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

Divide each side by '16'.
3.5625 + -2.5t + t2 = 0

Move the constant term to the right:

Add '-3.5625' to each side of the equation.
3.5625 + -2.5t + -3.5625 + t2 = 0 + -3.5625

Reorder the terms:
3.5625 + -3.5625 + -2.5t + t2 = 0 + -3.5625

Combine like terms: 3.5625 + -3.5625 = 0.0000
0.0000 + -2.5t + t2 = 0 + -3.5625
-2.5t + t2 = 0 + -3.5625

Combine like terms: 0 + -3.5625 = -3.5625
-2.5t + t2 = -3.5625

The t term is -2.5t.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5t + 1.5625 + t2 = -3.5625 + 1.5625

Reorder the terms:
1.5625 + -2.5t + t2 = -3.5625 + 1.5625

Combine like terms: -3.5625 + 1.5625 = -2
1.5625 + -2.5t + t2 = -2

Factor a perfect square on the left side:
(t + -1.25)(t + -1.25) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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