3x^2-19x-22=0

Solution for 3x^2-19x-22=0 equation:

Simplifying
3x2 + -19x + -22 = 0

Reorder the terms:
-22 + -19x + 3x2 = 0

Solving
-22 + -19x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x)(22 + -3x) = 0

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

Combine like terms: -1 + 1 = 0
0 + -1x = 0 + 1
-1x = 0 + 1

Combine like terms: 0 + 1 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1
Subproblem 2
Set the factor '(22 + -3x)' equal to zero and attempt to solve:

Simplifying
22 + -3x = 0

Solving
22 + -3x = 0

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

Add '-22' to each side of the equation.
22 + -22 + -3x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -3x = 0 + -22
-3x = 0 + -22

Combine like terms: 0 + -22 = -22
-3x = -22

Divide each side by '-3'.
x = 7.333333333

Simplifying
x = 7.333333333
Solution
x = {-1, 7.333333333}