16t^2+16t+5=0

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


Simplifying
16t2 + 16t + 5 = 0

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

Solving
5 + 16t + 16t2 = 0

Solving for variable 't'.

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

Divide each side by '16'.
0.3125 + t + t2 = 0

Move the constant term to the right:

Add '-0.3125' to each side of the equation.
0.3125 + t + -0.3125 + t2 = 0 + -0.3125

Reorder the terms:
0.3125 + -0.3125 + t + t2 = 0 + -0.3125

Combine like terms: 0.3125 + -0.3125 = 0.0000
0.0000 + t + t2 = 0 + -0.3125
t + t2 = 0 + -0.3125

Combine like terms: 0 + -0.3125 = -0.3125
t + t2 = -0.3125

The t term is t.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + t2 = -0.3125 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + t2 = -0.3125 + 0.25

Combine like terms: -0.3125 + 0.25 = -0.0625
1.25 + t2 = -0.0625

Factor a perfect square on the left side:
(t + 0.5)(t + 0.5) = -0.0625

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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