105=(x+2)(x)(3)

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Solution for 105=(x+2)(x)(3) equation: 


Simplifying
105 = (x + 2)(x)(3)

Reorder the terms:
105 = (2 + x)(x)(3)

Reorder the terms for easier multiplication:
105 = 3x(2 + x)
105 = (2 * 3x + x * 3x)
105 = (6x + 3x2)

Solving
105 = 6x + 3x2

Solving for variable 'x'.

Reorder the terms:
105 + -6x + -3x2 = 6x + -6x + 3x2 + -3x2

Combine like terms: 6x + -6x = 0
105 + -6x + -3x2 = 0 + 3x2 + -3x2
105 + -6x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
105 + -6x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(35 + -2x + -1x2) = 0

Factor a trinomial.
3((5 + -1x)(7 + x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {5, -7}

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