33.8=26t-20t^2

Solution for 33.8=26t-20t^2 equation:

Simplifying
33.8 = 26t + -20t2

Solving
33.8 = 26t + -20t2

Solving for variable 't'.

Reorder the terms:
33.8 + -26t + 20t2 = 26t + -26t + -20t2 + 20t2

Combine like terms: 26t + -26t = 0
33.8 + -26t + 20t2 = 0 + -20t2 + 20t2
33.8 + -26t + 20t2 = -20t2 + 20t2

Combine like terms: -20t2 + 20t2 = 0
33.8 + -26t + 20t2 = 0

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

Divide each side by '20'.
1.69 + -1.3t + t2 = 0

Move the constant term to the right:

Add '-1.69' to each side of the equation.
1.69 + -1.3t + -1.69 + t2 = 0 + -1.69

Reorder the terms:
1.69 + -1.69 + -1.3t + t2 = 0 + -1.69

Combine like terms: 1.69 + -1.69 = 0.00
0.00 + -1.3t + t2 = 0 + -1.69
-1.3t + t2 = 0 + -1.69

Combine like terms: 0 + -1.69 = -1.69
-1.3t + t2 = -1.69

The t term is -1.3t.  Take half its coefficient (-0.65).
Square it (0.4225) and add it to both sides.

Add '0.4225' to each side of the equation.
-1.3t + 0.4225 + t2 = -1.69 + 0.4225

Reorder the terms:
0.4225 + -1.3t + t2 = -1.69 + 0.4225

Combine like terms: -1.69 + 0.4225 = -1.2675
0.4225 + -1.3t + t2 = -1.2675

Factor a perfect square on the left side:
(t + -0.65)(t + -0.65) = -1.2675

Can't calculate square root of the right side.

The solution to this equation could not be determined.