0=-5t^2-16t-16

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Solution for 0=-5t^2-16t-16 equation:


Simplifying
0 = -5t2 + -16t + -16

Reorder the terms:
0 = -16 + -16t + -5t2

Solving
0 = -16 + -16t + -5t2

Solving for variable 't'.

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

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

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

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

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

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

Divide each side by '5'.
3.2 + 3.2t + t2 = 0

Move the constant term to the right:

Add '-3.2' to each side of the equation.
3.2 + 3.2t + -3.2 + t2 = 0 + -3.2

Reorder the terms:
3.2 + -3.2 + 3.2t + t2 = 0 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + 3.2t + t2 = 0 + -3.2
3.2t + t2 = 0 + -3.2

Combine like terms: 0 + -3.2 = -3.2
3.2t + t2 = -3.2

The t term is 3.2t.  Take half its coefficient (1.6).
Square it (2.56) and add it to both sides.

Add '2.56' to each side of the equation.
3.2t + 2.56 + t2 = -3.2 + 2.56

Reorder the terms:
2.56 + 3.2t + t2 = -3.2 + 2.56

Combine like terms: -3.2 + 2.56 = -0.64
2.56 + 3.2t + t2 = -0.64

Factor a perfect square on the left side:
(t + 1.6)(t + 1.6) = -0.64

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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