(x+44)(3x-2)=0

Solution for (x+44)(3x-2)=0 equation:

Simplifying
(x + 44)(3x + -2) = 0

Reorder the terms:
(44 + x)(3x + -2) = 0

Reorder the terms:
(44 + x)(-2 + 3x) = 0

Multiply (44 + x) * (-2 + 3x)
(44(-2 + 3x) + x(-2 + 3x)) = 0
((-2 * 44 + 3x * 44) + x(-2 + 3x)) = 0
((-88 + 132x) + x(-2 + 3x)) = 0
(-88 + 132x + (-2 * x + 3x * x)) = 0
(-88 + 132x + (-2x + 3x2)) = 0

Combine like terms: 132x + -2x = 130x
(-88 + 130x + 3x2) = 0

Solving
-88 + 130x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-44 + -1x)(2 + -3x) = 0

Subproblem 1
Set the factor '(-44 + -1x)' equal to zero and attempt to solve:

Simplifying
-44 + -1x = 0

Solving
-44 + -1x = 0

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

Add '44' to each side of the equation.
-44 + 44 + -1x = 0 + 44

Combine like terms: -44 + 44 = 0
0 + -1x = 0 + 44
-1x = 0 + 44

Combine like terms: 0 + 44 = 44
-1x = 44

Divide each side by '-1'.
x = -44

Simplifying
x = -44
Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

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

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

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {-44, 0.6666666667}