t^2+8t+35=0

Solution for t^2+8t+35=0 equation:

Simplifying
t2 + 8t + 35 = 0

Reorder the terms:
35 + 8t + t2 = 0

Solving
35 + 8t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '-35' to each side of the equation.
35 + 8t + -35 + t2 = 0 + -35

Reorder the terms:
35 + -35 + 8t + t2 = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 8t + t2 = 0 + -35
8t + t2 = 0 + -35

Combine like terms: 0 + -35 = -35
8t + t2 = -35

The t term is 8t.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8t + 16 + t2 = -35 + 16

Reorder the terms:
16 + 8t + t2 = -35 + 16

Combine like terms: -35 + 16 = -19
16 + 8t + t2 = -19

Factor a perfect square on the left side:
(t + 4)(t + 4) = -19

Can't calculate square root of the right side.

The solution to this equation could not be determined.