12t^2-4t=-3

Solution for 12t^2-4t=-3 equation:

Simplifying
12t2 + -4t = -3

Reorder the terms:
-4t + 12t2 = -3

Solving
-4t + 12t2 = -3

Solving for variable 't'.

Reorder the terms:
3 + -4t + 12t2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + -4t + 12t2 = 0

Begin completing the square.  Divide all terms by
12 the coefficient of the squared term: 

Divide each side by '12'.
0.25 + -0.3333333333t + t2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.3333333333t + -0.25 + t2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.3333333333t + t2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.3333333333t + t2 = 0 + -0.25
-0.3333333333t + t2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.3333333333t + t2 = -0.25

The t term is -0.3333333333t.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333t + 0.02777777779 + t2 = -0.25 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333t + t2 = -0.25 + 0.02777777779

Combine like terms: -0.25 + 0.02777777779 = -0.22222222221
0.02777777779 + -0.3333333333t + t2 = -0.22222222221

Factor a perfect square on the left side:
(t + -0.1666666667)(t + -0.1666666667) = -0.22222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.