t^2+17t+77=0

Solution for t^2+17t+77=0 equation:

Simplifying
t2 + 17t + 77 = 0

Reorder the terms:
77 + 17t + t2 = 0

Solving
77 + 17t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '-77' to each side of the equation.
77 + 17t + -77 + t2 = 0 + -77

Reorder the terms:
77 + -77 + 17t + t2 = 0 + -77

Combine like terms: 77 + -77 = 0
0 + 17t + t2 = 0 + -77
17t + t2 = 0 + -77

Combine like terms: 0 + -77 = -77
17t + t2 = -77

The t term is 17t.  Take half its coefficient (8.5).
Square it (72.25) and add it to both sides.

Add '72.25' to each side of the equation.
17t + 72.25 + t2 = -77 + 72.25

Reorder the terms:
72.25 + 17t + t2 = -77 + 72.25

Combine like terms: -77 + 72.25 = -4.75
72.25 + 17t + t2 = -4.75

Factor a perfect square on the left side:
(t + 8.5)(t + 8.5) = -4.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.