t^2-22t-23=0

Solution for t^2-22t-23=0 equation:

Simplifying
t2 + -22t + -23 = 0

Reorder the terms:
-23 + -22t + t2 = 0

Solving
-23 + -22t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-1 + -1t)(23 + -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 '(23 + -1t)' equal to zero and attempt to solve:

Simplifying
23 + -1t = 0

Solving
23 + -1t = 0

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

Add '-23' to each side of the equation.
23 + -23 + -1t = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -1t = 0 + -23
-1t = 0 + -23

Combine like terms: 0 + -23 = -23
-1t = -23

Divide each side by '-1'.
t = 23

Simplifying
t = 23
Solution
t = {-1, 23}