(X-33)(6X-24)=

Solution for (X-33)(6X-24)= equation:

Simplifying
(X + -33)(6X + -24) = 0

Reorder the terms:
(-33 + X)(6X + -24) = 0

Reorder the terms:
(-33 + X)(-24 + 6X) = 0

Multiply (-33 + X) * (-24 + 6X)
(-33(-24 + 6X) + X(-24 + 6X)) = 0
((-24 * -33 + 6X * -33) + X(-24 + 6X)) = 0
((792 + -198X) + X(-24 + 6X)) = 0
(792 + -198X + (-24 * X + 6X * X)) = 0
(792 + -198X + (-24X + 6X2)) = 0

Combine like terms: -198X + -24X = -222X
(792 + -222X + 6X2) = 0

Solving
792 + -222X + 6X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '6'.
6(132 + -37X + X2) = 0

Factor a trinomial.
6((4 + -1X)(33 + -1X)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(4 + -1X)' equal to zero and attempt to solve:

Simplifying
4 + -1X = 0

Solving
4 + -1X = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1X = 0 + -4

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

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

Divide each side by '-1'.
X = 4

Simplifying
X = 4
Subproblem 2
Set the factor '(33 + -1X)' equal to zero and attempt to solve:

Simplifying
33 + -1X = 0

Solving
33 + -1X = 0

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

Add '-33' to each side of the equation.
33 + -33 + -1X = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -1X = 0 + -33
-1X = 0 + -33

Combine like terms: 0 + -33 = -33
-1X = -33

Divide each side by '-1'.
X = 33

Simplifying
X = 33
Solution
X = {4, 33}