2t^2+17t+65=

Solution for 2t^2+17t+65= equation:

Simplifying
2t2 + 17t + 65 = 0

Reorder the terms:
65 + 17t + 2t2 = 0

Solving
65 + 17t + 2t2 = 0

Solving for variable 't'.

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

Divide each side by '2'.
32.5 + 8.5t + t2 = 0

Move the constant term to the right:

Add '-32.5' to each side of the equation.
32.5 + 8.5t + -32.5 + t2 = 0 + -32.5

Reorder the terms:
32.5 + -32.5 + 8.5t + t2 = 0 + -32.5

Combine like terms: 32.5 + -32.5 = 0.0
0.0 + 8.5t + t2 = 0 + -32.5
8.5t + t2 = 0 + -32.5

Combine like terms: 0 + -32.5 = -32.5
8.5t + t2 = -32.5

The t term is 8.5t.  Take half its coefficient (4.25).
Square it (18.0625) and add it to both sides.

Add '18.0625' to each side of the equation.
8.5t + 18.0625 + t2 = -32.5 + 18.0625

Reorder the terms:
18.0625 + 8.5t + t2 = -32.5 + 18.0625

Combine like terms: -32.5 + 18.0625 = -14.4375
18.0625 + 8.5t + t2 = -14.4375

Factor a perfect square on the left side:
(t + 4.25)(t + 4.25) = -14.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.