8t-33-t^2=0

Solution for 8t-33-t^2=0 equation:

Simplifying
8t + -33 + -1t2 = 0

Reorder the terms:
-33 + 8t + -1t2 = 0

Solving
-33 + 8t + -1t2 = 0

Solving for variable 't'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
33 + -8t + t2 = 0

Move the constant term to the right:

Add '-33' to each side of the equation.
33 + -8t + -33 + t2 = 0 + -33

Reorder the terms:
33 + -33 + -8t + t2 = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -8t + t2 = 0 + -33
-8t + t2 = 0 + -33

Combine like terms: 0 + -33 = -33
-8t + t2 = -33

The t term is -8t.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8t + 16 + t2 = -33 + 16

Reorder the terms:
16 + -8t + t2 = -33 + 16

Combine like terms: -33 + 16 = -17
16 + -8t + t2 = -17

Factor a perfect square on the left side:
(t + -4)(t + -4) = -17

Can't calculate square root of the right side.

The solution to this equation could not be determined.