321=16t^2-2t+524

Solution for 321=16t^2-2t+524 equation:

Simplifying
321 = 16t2 + -2t + 524

Reorder the terms:
321 = 524 + -2t + 16t2

Solving
321 = 524 + -2t + 16t2

Solving for variable 't'.

Combine like terms: 321 + -524 = -203
-203 + 2t + -16t2 = 524 + -2t + 16t2 + -524 + 2t + -16t2

Reorder the terms:
-203 + 2t + -16t2 = 524 + -524 + -2t + 2t + 16t2 + -16t2

Combine like terms: 524 + -524 = 0
-203 + 2t + -16t2 = 0 + -2t + 2t + 16t2 + -16t2
-203 + 2t + -16t2 = -2t + 2t + 16t2 + -16t2

Combine like terms: -2t + 2t = 0
-203 + 2t + -16t2 = 0 + 16t2 + -16t2
-203 + 2t + -16t2 = 16t2 + -16t2

Combine like terms: 16t2 + -16t2 = 0
-203 + 2t + -16t2 = 0

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

Divide each side by '-16'.
12.6875 + -0.125t + t2 = 0

Move the constant term to the right:

Add '-12.6875' to each side of the equation.
12.6875 + -0.125t + -12.6875 + t2 = 0 + -12.6875

Reorder the terms:
12.6875 + -12.6875 + -0.125t + t2 = 0 + -12.6875

Combine like terms: 12.6875 + -12.6875 = 0.0000
0.0000 + -0.125t + t2 = 0 + -12.6875
-0.125t + t2 = 0 + -12.6875

Combine like terms: 0 + -12.6875 = -12.6875
-0.125t + t2 = -12.6875

The t term is -0.125t.  Take half its coefficient (-0.0625).
Square it (0.00390625) and add it to both sides.

Add '0.00390625' to each side of the equation.
-0.125t + 0.00390625 + t2 = -12.6875 + 0.00390625

Reorder the terms:
0.00390625 + -0.125t + t2 = -12.6875 + 0.00390625

Combine like terms: -12.6875 + 0.00390625 = -12.68359375
0.00390625 + -0.125t + t2 = -12.68359375

Factor a perfect square on the left side:
(t + -0.0625)(t + -0.0625) = -12.68359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.