(X)(X+5)(4)=264

Solution for (X)(X+5)(4)=264 equation:

Simplifying
(X)(X + 5)(4) = 264

Reorder the terms:
X(5 + X)(4) = 264

Reorder the terms for easier multiplication:
4X(5 + X) = 264
(5 * 4X + X * 4X) = 264
(20X + 4X2) = 264

Solving
20X + 4X2 = 264

Solving for variable 'X'.

Reorder the terms:
-264 + 20X + 4X2 = 264 + -264

Combine like terms: 264 + -264 = 0
-264 + 20X + 4X2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-66 + 5X + X2) = 0

Factor a trinomial.
4((-11 + -1X)(6 + -1X)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-11 + -1X)' equal to zero and attempt to solve:

Simplifying
-11 + -1X = 0

Solving
-11 + -1X = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1X = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1X = 0 + 11
-1X = 0 + 11

Combine like terms: 0 + 11 = 11
-1X = 11

Divide each side by '-1'.
X = -11

Simplifying
X = -11
Subproblem 2
Set the factor '(6 + -1X)' equal to zero and attempt to solve:

Simplifying
6 + -1X = 0

Solving
6 + -1X = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1X = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1X = 0 + -6
-1X = 0 + -6

Combine like terms: 0 + -6 = -6
-1X = -6

Divide each side by '-1'.
X = 6

Simplifying
X = 6
Solution
X = {-11, 6}