t^2+4t+12=0

Solution for t^2+4t+12=0 equation:

Simplifying
t2 + 4t + 12 = 0

Reorder the terms:
12 + 4t + t2 = 0

Solving
12 + 4t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + 4t + -12 + t2 = 0 + -12

Reorder the terms:
12 + -12 + 4t + t2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 4t + t2 = 0 + -12
4t + t2 = 0 + -12

Combine like terms: 0 + -12 = -12
4t + t2 = -12

The t term is 4t.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4t + 4 + t2 = -12 + 4

Reorder the terms:
4 + 4t + t2 = -12 + 4

Combine like terms: -12 + 4 = -8
4 + 4t + t2 = -8

Factor a perfect square on the left side:
(t + 2)(t + 2) = -8

Can't calculate square root of the right side.

The solution to this equation could not be determined.