t^2-34t+33=0

Solution for t^2-34t+33=0 equation:

Simplifying
t2 + -34t + 33 = 0

Reorder the terms:
33 + -34t + t2 = 0

Solving
33 + -34t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(1 + -1t)(33 + -1t) = 0

Subproblem 1
Set the factor '(1 + -1t)' equal to zero and attempt to solve:

Simplifying
1 + -1t = 0

Solving
1 + -1t = 0

Move all terms containing t to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1t = 0 + -1
-1t = 0 + -1

Combine like terms: 0 + -1 = -1
-1t = -1

Divide each side by '-1'.
t = 1

Simplifying
t = 1
Subproblem 2
Set the factor '(33 + -1t)' equal to zero and attempt to solve:

Simplifying
33 + -1t = 0

Solving
33 + -1t = 0

Move all terms containing t to the left, all other terms to the right.

Add '-33' to each side of the equation.
33 + -33 + -1t = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -1t = 0 + -33
-1t = 0 + -33

Combine like terms: 0 + -33 = -33
-1t = -33

Divide each side by '-1'.
t = 33

Simplifying
t = 33
Solution
t = {1, 33}