2t^2-11t+22=10

Solution for 2t^2-11t+22=10 equation:

Simplifying
2t2 + -11t + 22 = 10

Reorder the terms:
22 + -11t + 2t2 = 10

Solving
22 + -11t + 2t2 = 10

Solving for variable 't'.

Reorder the terms:
22 + -10 + -11t + 2t2 = 10 + -10

Combine like terms: 22 + -10 = 12
12 + -11t + 2t2 = 10 + -10

Combine like terms: 10 + -10 = 0
12 + -11t + 2t2 = 0

Factor a trinomial.
(3 + -2t)(4 + -1t) = 0

Subproblem 1
Set the factor '(3 + -2t)' equal to zero and attempt to solve:

Simplifying
3 + -2t = 0

Solving
3 + -2t = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2t = 0 + -3
-2t = 0 + -3

Combine like terms: 0 + -3 = -3
-2t = -3

Divide each side by '-2'.
t = 1.5

Simplifying
t = 1.5
Subproblem 2
Set the factor '(4 + -1t)' equal to zero and attempt to solve:

Simplifying
4 + -1t = 0

Solving
4 + -1t = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1t = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1t = 0 + -4
-1t = 0 + -4

Combine like terms: 0 + -4 = -4
-1t = -4

Divide each side by '-1'.
t = 4

Simplifying
t = 4
Solution
t = {1.5, 4}