2+t(t+3)+3=0

Solution for 2+t(t+3)+3=0 equation:

Simplifying
2 + t(t + 3) + 3 = 0

Reorder the terms:
2 + t(3 + t) + 3 = 0
2 + (3 * t + t * t) + 3 = 0
2 + (3t + t2) + 3 = 0

Reorder the terms:
2 + 3 + 3t + t2 = 0

Combine like terms: 2 + 3 = 5
5 + 3t + t2 = 0

Solving
5 + 3t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 3t + -5 + t2 = 0 + -5

Reorder the terms:
5 + -5 + 3t + t2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3t + t2 = 0 + -5
3t + t2 = 0 + -5

Combine like terms: 0 + -5 = -5
3t + t2 = -5

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 = -5 + 2.25

Reorder the terms:
2.25 + 3t + t2 = -5 + 2.25

Combine like terms: -5 + 2.25 = -2.75
2.25 + 3t + t2 = -2.75

Factor a perfect square on the left side:
(t + 1.5)(t + 1.5) = -2.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.