3a^2+5a-22=

Solution for 3a^2+5a-22= equation:

Simplifying
3a2 + 5a + -22 = 0

Reorder the terms:
-22 + 5a + 3a2 = 0

Solving
-22 + 5a + 3a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-11 + -3a)(2 + -1a) = 0

Subproblem 1
Set the factor '(-11 + -3a)' equal to zero and attempt to solve:

Simplifying
-11 + -3a = 0

Solving
-11 + -3a = 0

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

Add '11' to each side of the equation.
-11 + 11 + -3a = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -3a = 0 + 11
-3a = 0 + 11

Combine like terms: 0 + 11 = 11
-3a = 11

Divide each side by '-3'.
a = -3.666666667

Simplifying
a = -3.666666667
Subproblem 2
Set the factor '(2 + -1a)' equal to zero and attempt to solve:

Simplifying
2 + -1a = 0

Solving
2 + -1a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 0 + -2

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

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

Divide each side by '-1'.
a = 2

Simplifying
a = 2
Solution
a = {-3.666666667, 2}