t^2+t+10=0

Solution for t^2+t+10=0 equation:

Simplifying
t2 + t + 10 = 0

Reorder the terms:
10 + t + t2 = 0

Solving
10 + t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + t + -10 + t2 = 0 + -10

Reorder the terms:
10 + -10 + t + t2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + t + t2 = 0 + -10
t + t2 = 0 + -10

Combine like terms: 0 + -10 = -10
t + t2 = -10

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 = -10 + 0.25

Reorder the terms:
0.25 + t + t2 = -10 + 0.25

Combine like terms: -10 + 0.25 = -9.75
0.25 + t + t2 = -9.75

Factor a perfect square on the left side:
(t + 0.5)(t + 0.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.