t^2+21t-22=0

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

Simplifying
t2 + 21t + -22 = 0

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

Solving
-22 + 21t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-22 + -1t)(1 + -1t) = 0

Subproblem 1
Set the factor '(-22 + -1t)' equal to zero and attempt to solve:

Simplifying
-22 + -1t = 0

Solving
-22 + -1t = 0

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

Add '22' to each side of the equation.
-22 + 22 + -1t = 0 + 22

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

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

Divide each side by '-1'.
t = -22

Simplifying
t = -22
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 = {-22, 1}