-3t(t-2)-(t+2)=4

Solution for -3t(t-2)-(t+2)=4 equation:

Simplifying
-3t(t + -2) + -1(t + 2) = 4

Reorder the terms:
-3t(-2 + t) + -1(t + 2) = 4
(-2 * -3t + t * -3t) + -1(t + 2) = 4
(6t + -3t2) + -1(t + 2) = 4

Reorder the terms:
6t + -3t2 + -1(2 + t) = 4
6t + -3t2 + (2 * -1 + t * -1) = 4
6t + -3t2 + (-2 + -1t) = 4

Reorder the terms:
-2 + 6t + -1t + -3t2 = 4

Combine like terms: 6t + -1t = 5t
-2 + 5t + -3t2 = 4

Solving
-2 + 5t + -3t2 = 4

Solving for variable 't'.

Reorder the terms:
-2 + -4 + 5t + -3t2 = 4 + -4

Combine like terms: -2 + -4 = -6
-6 + 5t + -3t2 = 4 + -4

Combine like terms: 4 + -4 = 0
-6 + 5t + -3t2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
2 + -1.666666667t + t2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -1.666666667t + -2 + t2 = 0 + -2

Reorder the terms:
2 + -2 + -1.666666667t + t2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1.666666667t + t2 = 0 + -2
-1.666666667t + t2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1.666666667t + t2 = -2

The t term is -1.666666667t.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667t + 0.6944444447 + t2 = -2 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667t + t2 = -2 + 0.6944444447

Combine like terms: -2 + 0.6944444447 = -1.3055555553
0.6944444447 + -1.666666667t + t2 = -1.3055555553

Factor a perfect square on the left side:
(t + -0.8333333335)(t + -0.8333333335) = -1.3055555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.