(7t-2)-(3t+1)=-3t(1-3t)

Solution for (7t-2)-(3t+1)=-3t(1-3t) equation:

Simplifying
(7t + -2) + -1(3t + 1) = -3t(1 + -3t)

Reorder the terms:
(-2 + 7t) + -1(3t + 1) = -3t(1 + -3t)

Remove parenthesis around (-2 + 7t)
-2 + 7t + -1(3t + 1) = -3t(1 + -3t)

Reorder the terms:
-2 + 7t + -1(1 + 3t) = -3t(1 + -3t)
-2 + 7t + (1 * -1 + 3t * -1) = -3t(1 + -3t)
-2 + 7t + (-1 + -3t) = -3t(1 + -3t)

Reorder the terms:
-2 + -1 + 7t + -3t = -3t(1 + -3t)

Combine like terms: -2 + -1 = -3
-3 + 7t + -3t = -3t(1 + -3t)

Combine like terms: 7t + -3t = 4t
-3 + 4t = -3t(1 + -3t)
-3 + 4t = (1 * -3t + -3t * -3t)
-3 + 4t = (-3t + 9t2)

Solving
-3 + 4t = -3t + 9t2

Solving for variable 't'.

Combine like terms: 4t + 3t = 7t
-3 + 7t + -9t2 = -3t + 9t2 + 3t + -9t2

Reorder the terms:
-3 + 7t + -9t2 = -3t + 3t + 9t2 + -9t2

Combine like terms: -3t + 3t = 0
-3 + 7t + -9t2 = 0 + 9t2 + -9t2
-3 + 7t + -9t2 = 9t2 + -9t2

Combine like terms: 9t2 + -9t2 = 0
-3 + 7t + -9t2 = 0

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
0.3333333333 + -0.7777777778t + t2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.7777777778t + -0.3333333333 + t2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.7777777778t + t2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.7777777778t + t2 = 0 + -0.3333333333
-0.7777777778t + t2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.7777777778t + t2 = -0.3333333333

The t term is -0.7777777778t.  Take half its coefficient (-0.3888888889).
Square it (0.1512345679) and add it to both sides.

Add '0.1512345679' to each side of the equation.
-0.7777777778t + 0.1512345679 + t2 = -0.3333333333 + 0.1512345679

Reorder the terms:
0.1512345679 + -0.7777777778t + t2 = -0.3333333333 + 0.1512345679

Combine like terms: -0.3333333333 + 0.1512345679 = -0.1820987654
0.1512345679 + -0.7777777778t + t2 = -0.1820987654

Factor a perfect square on the left side:
(t + -0.3888888889)(t + -0.3888888889) = -0.1820987654

Can't calculate square root of the right side.

The solution to this equation could not be determined.