4368=(24)(x+1)(x)

Solution for 4368=(24)(x+1)(x) equation:

Simplifying
4368 = (24)(x + 1)(x)

Reorder the terms:
4368 = 24(1 + x)(x)

Reorder the terms for easier multiplication:
4368 = 24x(1 + x)
4368 = (1 * 24x + x * 24x)
4368 = (24x + 24x2)

Solving
4368 = 24x + 24x2

Solving for variable 'x'.

Reorder the terms:
4368 + -24x + -24x2 = 24x + -24x + 24x2 + -24x2

Combine like terms: 24x + -24x = 0
4368 + -24x + -24x2 = 0 + 24x2 + -24x2
4368 + -24x + -24x2 = 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
4368 + -24x + -24x2 = 0

Factor out the Greatest Common Factor (GCF), '24'.
24(182 + -1x + -1x2) = 0

Factor a trinomial.
24((13 + -1x)(14 + x)) = 0

Ignore the factor 24.
Subproblem 1
Set the factor '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Subproblem 2
Set the factor '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 0

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

Add '-14' to each side of the equation.
14 + -14 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Simplifying
x = -14
Solution
x = {13, -14}