0=t^2-22t+21

Solution for 0=t^2-22t+21 equation:

Simplifying
0 = t2 + -22t + 21

Reorder the terms:
0 = 21 + -22t + t2

Solving
0 = 21 + -22t + t2

Solving for variable 't'.

Combine like terms: 0 + -21 = -21
-21 + 22t + -1t2 = 21 + -22t + t2 + -21 + 22t + -1t2

Reorder the terms:
-21 + 22t + -1t2 = 21 + -21 + -22t + 22t + t2 + -1t2

Combine like terms: 21 + -21 = 0
-21 + 22t + -1t2 = 0 + -22t + 22t + t2 + -1t2
-21 + 22t + -1t2 = -22t + 22t + t2 + -1t2

Combine like terms: -22t + 22t = 0
-21 + 22t + -1t2 = 0 + t2 + -1t2
-21 + 22t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
-21 + 22t + -1t2 = 0

Factor a trinomial.
(-21 + t)(1 + -1t) = 0

Subproblem 1
Set the factor '(-21 + t)' equal to zero and attempt to solve:

Simplifying
-21 + t = 0

Solving
-21 + t = 0

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

Add '21' to each side of the equation.
-21 + 21 + t = 0 + 21

Combine like terms: -21 + 21 = 0
0 + t = 0 + 21
t = 0 + 21

Combine like terms: 0 + 21 = 21
t = 21

Simplifying
t = 21
Subproblem 2
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
Solution
t = {21, 1}