(13-x)(8-x)(3)=

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Solution for (13-x)(8-x)(3)= equation: 


Simplifying
(13 + -1x)(8 + -1x)(3) = 0

Reorder the terms for easier multiplication:
3(13 + -1x)(8 + -1x) = 0

Multiply (13 + -1x) * (8 + -1x)
3(13(8 + -1x) + -1x * (8 + -1x)) = 0
3((8 * 13 + -1x * 13) + -1x * (8 + -1x)) = 0
3((104 + -13x) + -1x * (8 + -1x)) = 0
3(104 + -13x + (8 * -1x + -1x * -1x)) = 0
3(104 + -13x + (-8x + 1x2)) = 0

Combine like terms: -13x + -8x = -21x
3(104 + -21x + 1x2) = 0
(104 * 3 + -21x * 3 + 1x2 * 3) = 0
(312 + -63x + 3x2) = 0

Solving
312 + -63x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(104 + -21x + x2) = 0

Factor a trinomial.
3((8 + -1x)(13 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

Subproblem 2
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
Solution
x = {8, 13}

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