t^2+3t+400=0

Solution for t^2+3t+400=0 equation:

Simplifying
t2 + 3t + 400 = 0

Reorder the terms:
400 + 3t + t2 = 0

Solving
400 + 3t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '-400' to each side of the equation.
400 + 3t + -400 + t2 = 0 + -400

Reorder the terms:
400 + -400 + 3t + t2 = 0 + -400

Combine like terms: 400 + -400 = 0
0 + 3t + t2 = 0 + -400
3t + t2 = 0 + -400

Combine like terms: 0 + -400 = -400
3t + t2 = -400

The t term is 3t.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3t + 2.25 + t2 = -400 + 2.25

Reorder the terms:
2.25 + 3t + t2 = -400 + 2.25

Combine like terms: -400 + 2.25 = -397.75
2.25 + 3t + t2 = -397.75

Factor a perfect square on the left side:
(t + 1.5)(t + 1.5) = -397.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.