2t^2+7t-22=0

Solution for 2t^2+7t-22=0 equation:

Simplifying
2t2 + 7t + -22 = 0

Reorder the terms:
-22 + 7t + 2t2 = 0

Solving
-22 + 7t + 2t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-11 + -2t)(2 + -1t) = 0

Subproblem 1
Set the factor '(-11 + -2t)' equal to zero and attempt to solve:

Simplifying
-11 + -2t = 0

Solving
-11 + -2t = 0

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

Add '11' to each side of the equation.
-11 + 11 + -2t = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -2t = 0 + 11
-2t = 0 + 11

Combine like terms: 0 + 11 = 11
-2t = 11

Divide each side by '-2'.
t = -5.5

Simplifying
t = -5.5
Subproblem 2
Set the factor '(2 + -1t)' equal to zero and attempt to solve:

Simplifying
2 + -1t = 0

Solving
2 + -1t = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1t = 0 + -2
-1t = 0 + -2

Combine like terms: 0 + -2 = -2
-1t = -2

Divide each side by '-1'.
t = 2

Simplifying
t = 2
Solution
t = {-5.5, 2}