(4t^2)+12t+17=0

Solution for (4t^2)+12t+17=0 equation:

Simplifying
(4t2) + 12t + 17 = 0

Reorder the terms:
17 + 12t + (4t2) = 0

Solving
17 + 12t + (4t2) = 0

Solving for variable 't'.

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

Divide each side by '4'.
4.25 + 3t + t2 = 0

Move the constant term to the right:

Add '-4.25' to each side of the equation.
4.25 + 3t + -4.25 + t2 = 0 + -4.25

Reorder the terms:
4.25 + -4.25 + 3t + t2 = 0 + -4.25

Combine like terms: 4.25 + -4.25 = 0.00
0.00 + 3t + t2 = 0 + -4.25
3t + t2 = 0 + -4.25

Combine like terms: 0 + -4.25 = -4.25
3t + t2 = -4.25

The t term is 3t.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3t + 2.25 + t2 = -4.25 + 2.25

Reorder the terms:
2.25 + 3t + t2 = -4.25 + 2.25

Combine like terms: -4.25 + 2.25 = -2
2.25 + 3t + t2 = -2

Factor a perfect square on the left side:
((t) + 1.5)((t) + 1.5) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.