(x-1)(x-2)(x-3)=(x+1)(x+2)(x+3)

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Solution for (x-1)(x-2)(x-3)=(x+1)(x+2)(x+3) equation: 


Simplifying
(x + -1)(x + -2)(x + -3) = (x + 1)(x + 2)(x + 3)

Reorder the terms:
(-1 + x)(x + -2)(x + -3) = (x + 1)(x + 2)(x + 3)

Reorder the terms:
(-1 + x)(-2 + x)(x + -3) = (x + 1)(x + 2)(x + 3)

Reorder the terms:
(-1 + x)(-2 + x)(-3 + x) = (x + 1)(x + 2)(x + 3)

Multiply (-1 + x) * (-2 + x)
(-1(-2 + x) + x(-2 + x))(-3 + x) = (x + 1)(x + 2)(x + 3)
((-2 * -1 + x * -1) + x(-2 + x))(-3 + x) = (x + 1)(x + 2)(x + 3)
((2 + -1x) + x(-2 + x))(-3 + x) = (x + 1)(x + 2)(x + 3)
(2 + -1x + (-2 * x + x * x))(-3 + x) = (x + 1)(x + 2)(x + 3)
(2 + -1x + (-2x + x2))(-3 + x) = (x + 1)(x + 2)(x + 3)

Combine like terms: -1x + -2x = -3x
(2 + -3x + x2)(-3 + x) = (x + 1)(x + 2)(x + 3)

Multiply (2 + -3x + x2) * (-3 + x)
(2(-3 + x) + -3x * (-3 + x) + x2(-3 + x)) = (x + 1)(x + 2)(x + 3)
((-3 * 2 + x * 2) + -3x * (-3 + x) + x2(-3 + x)) = (x + 1)(x + 2)(x + 3)
((-6 + 2x) + -3x * (-3 + x) + x2(-3 + x)) = (x + 1)(x + 2)(x + 3)
(-6 + 2x + (-3 * -3x + x * -3x) + x2(-3 + x)) = (x + 1)(x + 2)(x + 3)
(-6 + 2x + (9x + -3x2) + x2(-3 + x)) = (x + 1)(x + 2)(x + 3)
(-6 + 2x + 9x + -3x2 + (-3 * x2 + x * x2)) = (x + 1)(x + 2)(x + 3)
(-6 + 2x + 9x + -3x2 + (-3x2 + x3)) = (x + 1)(x + 2)(x + 3)

Combine like terms: 2x + 9x = 11x
(-6 + 11x + -3x2 + -3x2 + x3) = (x + 1)(x + 2)(x + 3)

Combine like terms: -3x2 + -3x2 = -6x2
(-6 + 11x + -6x2 + x3) = (x + 1)(x + 2)(x + 3)

Reorder the terms:
-6 + 11x + -6x2 + x3 = (1 + x)(x + 2)(x + 3)

Reorder the terms:
-6 + 11x + -6x2 + x3 = (1 + x)(2 + x)(x + 3)

Reorder the terms:
-6 + 11x + -6x2 + x3 = (1 + x)(2 + x)(3 + x)

Multiply (1 + x) * (2 + x)
-6 + 11x + -6x2 + x3 = (1(2 + x) + x(2 + x))(3 + x)
-6 + 11x + -6x2 + x3 = ((2 * 1 + x * 1) + x(2 + x))(3 + x)
-6 + 11x + -6x2 + x3 = ((2 + 1x) + x(2 + x))(3 + x)
-6 + 11x + -6x2 + x3 = (2 + 1x + (2 * x + x * x))(3 + x)
-6 + 11x + -6x2 + x3 = (2 + 1x + (2x + x2))(3 + x)

Combine like terms: 1x + 2x = 3x
-6 + 11x + -6x2 + x3 = (2 + 3x + x2)(3 + x)

Multiply (2 + 3x + x2) * (3 + x)
-6 + 11x + -6x2 + x3 = (2(3 + x) + 3x * (3 + x) + x2(3 + x))
-6 + 11x + -6x2 + x3 = ((3 * 2 + x * 2) + 3x * (3 + x) + x2(3 + x))
-6 + 11x + -6x2 + x3 = ((6 + 2x) + 3x * (3 + x) + x2(3 + x))
-6 + 11x + -6x2 + x3 = (6 + 2x + (3 * 3x + x * 3x) + x2(3 + x))
-6 + 11x + -6x2 + x3 = (6 + 2x + (9x + 3x2) + x2(3 + x))
-6 + 11x + -6x2 + x3 = (6 + 2x + 9x + 3x2 + (3 * x2 + x * x2))
-6 + 11x + -6x2 + x3 = (6 + 2x + 9x + 3x2 + (3x2 + x3))

Combine like terms: 2x + 9x = 11x
-6 + 11x + -6x2 + x3 = (6 + 11x + 3x2 + 3x2 + x3)

Combine like terms: 3x2 + 3x2 = 6x2
-6 + 11x + -6x2 + x3 = (6 + 11x + 6x2 + x3)

Add '-11x' to each side of the equation.
-6 + 11x + -6x2 + -11x + x3 = 6 + 11x + 6x2 + -11x + x3

Reorder the terms:
-6 + 11x + -11x + -6x2 + x3 = 6 + 11x + 6x2 + -11x + x3

Combine like terms: 11x + -11x = 0
-6 + 0 + -6x2 + x3 = 6 + 11x + 6x2 + -11x + x3
-6 + -6x2 + x3 = 6 + 11x + 6x2 + -11x + x3

Reorder the terms:
-6 + -6x2 + x3 = 6 + 11x + -11x + 6x2 + x3

Combine like terms: 11x + -11x = 0
-6 + -6x2 + x3 = 6 + 0 + 6x2 + x3
-6 + -6x2 + x3 = 6 + 6x2 + x3

Add '-1x3' to each side of the equation.
-6 + -6x2 + x3 + -1x3 = 6 + 6x2 + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-6 + -6x2 + 0 = 6 + 6x2 + x3 + -1x3
-6 + -6x2 = 6 + 6x2 + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-6 + -6x2 = 6 + 6x2 + 0
-6 + -6x2 = 6 + 6x2

Solving
-6 + -6x2 = 6 + 6x2

Solving for variable 'x'.

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

Add '-6x2' to each side of the equation.
-6 + -6x2 + -6x2 = 6 + 6x2 + -6x2

Combine like terms: -6x2 + -6x2 = -12x2
-6 + -12x2 = 6 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-6 + -12x2 = 6 + 0
-6 + -12x2 = 6

Add '6' to each side of the equation.
-6 + 6 + -12x2 = 6 + 6

Combine like terms: -6 + 6 = 0
0 + -12x2 = 6 + 6
-12x2 = 6 + 6

Combine like terms: 6 + 6 = 12
-12x2 = 12

Divide each side by '-12'.
x2 = -1

Simplifying
x2 = -1

Reorder the terms:
1 + x2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + x2 = 0

The solution to this equation could not be determined.

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