t^2+t+56=0

Solution for t^2+t+56=0 equation:

Simplifying
t2 + t + 56 = 0

Reorder the terms:
56 + t + t2 = 0

Solving
56 + t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '-56' to each side of the equation.
56 + t + -56 + t2 = 0 + -56

Reorder the terms:
56 + -56 + t + t2 = 0 + -56

Combine like terms: 56 + -56 = 0
0 + t + t2 = 0 + -56
t + t2 = 0 + -56

Combine like terms: 0 + -56 = -56
t + t2 = -56

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 = -56 + 0.25

Reorder the terms:
0.25 + t + t2 = -56 + 0.25

Combine like terms: -56 + 0.25 = -55.75
0.25 + t + t2 = -55.75

Factor a perfect square on the left side:
(t + 0.5)(t + 0.5) = -55.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.