5t-2t(t-3)=33

Solution for 5t-2t(t-3)=33 equation:

Simplifying
5t + -2t(t + -3) = 33

Reorder the terms:
5t + -2t(-3 + t) = 33
5t + (-3 * -2t + t * -2t) = 33
5t + (6t + -2t2) = 33

Combine like terms: 5t + 6t = 11t
11t + -2t2 = 33

Solving
11t + -2t2 = 33

Solving for variable 't'.

Reorder the terms:
-33 + 11t + -2t2 = 33 + -33

Combine like terms: 33 + -33 = 0
-33 + 11t + -2t2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
16.5 + -5.5t + t2 = 0

Move the constant term to the right:

Add '-16.5' to each side of the equation.
16.5 + -5.5t + -16.5 + t2 = 0 + -16.5

Reorder the terms:
16.5 + -16.5 + -5.5t + t2 = 0 + -16.5

Combine like terms: 16.5 + -16.5 = 0.0
0.0 + -5.5t + t2 = 0 + -16.5
-5.5t + t2 = 0 + -16.5

Combine like terms: 0 + -16.5 = -16.5
-5.5t + t2 = -16.5

The t term is -5.5t.  Take half its coefficient (-2.75).
Square it (7.5625) and add it to both sides.

Add '7.5625' to each side of the equation.
-5.5t + 7.5625 + t2 = -16.5 + 7.5625

Reorder the terms:
7.5625 + -5.5t + t2 = -16.5 + 7.5625

Combine like terms: -16.5 + 7.5625 = -8.9375
7.5625 + -5.5t + t2 = -8.9375

Factor a perfect square on the left side:
(t + -2.75)(t + -2.75) = -8.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.