3t(4t-4)+8t=7t-3

Solution for 3t(4t-4)+8t=7t-3 equation:

Simplifying
3t(4t + -4) + 8t = 7t + -3

Reorder the terms:
3t(-4 + 4t) + 8t = 7t + -3
(-4 * 3t + 4t * 3t) + 8t = 7t + -3
(-12t + 12t2) + 8t = 7t + -3

Reorder the terms:
-12t + 8t + 12t2 = 7t + -3

Combine like terms: -12t + 8t = -4t
-4t + 12t2 = 7t + -3

Reorder the terms:
-4t + 12t2 = -3 + 7t

Solving
-4t + 12t2 = -3 + 7t

Solving for variable 't'.

Reorder the terms:
3 + -4t + -7t + 12t2 = -3 + 7t + 3 + -7t

Combine like terms: -4t + -7t = -11t
3 + -11t + 12t2 = -3 + 7t + 3 + -7t

Reorder the terms:
3 + -11t + 12t2 = -3 + 3 + 7t + -7t

Combine like terms: -3 + 3 = 0
3 + -11t + 12t2 = 0 + 7t + -7t
3 + -11t + 12t2 = 7t + -7t

Combine like terms: 7t + -7t = 0
3 + -11t + 12t2 = 0

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

Divide each side by '12'.
0.25 + -0.9166666667t + t2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.9166666667t + -0.25 + t2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.9166666667t + t2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.9166666667t + t2 = 0 + -0.25
-0.9166666667t + t2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.9166666667t + t2 = -0.25

The t term is -0.9166666667t.  Take half its coefficient (-0.4583333334).
Square it (0.2100694445) and add it to both sides.

Add '0.2100694445' to each side of the equation.
-0.9166666667t + 0.2100694445 + t2 = -0.25 + 0.2100694445

Reorder the terms:
0.2100694445 + -0.9166666667t + t2 = -0.25 + 0.2100694445

Combine like terms: -0.25 + 0.2100694445 = -0.0399305555
0.2100694445 + -0.9166666667t + t2 = -0.0399305555

Factor a perfect square on the left side:
(t + -0.4583333334)(t + -0.4583333334) = -0.0399305555

Can't calculate square root of the right side.

The solution to this equation could not be determined.