t^2+t+8=0

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

Simplifying
t2 + t + 8 = 0

Reorder the terms:
8 + t + t2 = 0

Solving
8 + t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

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

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

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

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

The t term is t.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
t + 0.25 + t2 = -8 + 0.25

Reorder the terms:
0.25 + t + t2 = -8 + 0.25

Combine like terms: -8 + 0.25 = -7.75
0.25 + t + t2 = -7.75

Factor a perfect square on the left side:
(t + 0.5)(t + 0.5) = -7.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.