(x-3)(x-2)(x-1)(x-0)(x+1)(x+2)(x+3)=0

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Solution for (x-3)(x-2)(x-1)(x-0)(x+1)(x+2)(x+3)=0 equation: 


Simplifying
(x + -3)(x + -2)(x + -1)(x + 0)(x + 1)(x + 2)(x + 3) = 0

Reorder the terms:
(-3 + x)(x + -2)(x + -1)(x + 0)(x + 1)(x + 2)(x + 3) = 0

Reorder the terms:
(-3 + x)(-2 + x)(x + -1)(x + 0)(x + 1)(x + 2)(x + 3) = 0

Reorder the terms:
(-3 + x)(-2 + x)(-1 + x)(x + 0)(x + 1)(x + 2)(x + 3) = 0

Reorder the terms:
(-3 + x)(-2 + x)(-1 + x)(0 + x)(x + 1)(x + 2)(x + 3) = 0
Remove the zero:
(-3 + x)(-2 + x)(-1 + x)(x)(x + 1)(x + 2)(x + 3) = 0

Reorder the terms:
(-3 + x)(-2 + x)(-1 + x) * x(1 + x)(x + 2)(x + 3) = 0

Reorder the terms:
(-3 + x)(-2 + x)(-1 + x) * x(1 + x)(2 + x)(x + 3) = 0

Reorder the terms:
(-3 + x)(-2 + x)(-1 + x) * x(1 + x)(2 + x)(3 + x) = 0

Reorder the terms for easier multiplication:
x(-3 + x)(-2 + x)(-1 + x)(1 + x)(2 + x)(3 + x) = 0

Multiply (-3 + x) * (-2 + x)
x(-3(-2 + x) + x(-2 + x))(-1 + x)(1 + x)(2 + x)(3 + x) = 0
x((-2 * -3 + x * -3) + x(-2 + x))(-1 + x)(1 + x)(2 + x)(3 + x) = 0
x((6 + -3x) + x(-2 + x))(-1 + x)(1 + x)(2 + x)(3 + x) = 0
x(6 + -3x + (-2 * x + x * x))(-1 + x)(1 + x)(2 + x)(3 + x) = 0
x(6 + -3x + (-2x + x2))(-1 + x)(1 + x)(2 + x)(3 + x) = 0

Combine like terms: -3x + -2x = -5x
x(6 + -5x + x2)(-1 + x)(1 + x)(2 + x)(3 + x) = 0

Multiply (6 + -5x + x2) * (-1 + x)
x(6(-1 + x) + -5x * (-1 + x) + x2(-1 + x))(1 + x)(2 + x)(3 + x) = 0
x((-1 * 6 + x * 6) + -5x * (-1 + x) + x2(-1 + x))(1 + x)(2 + x)(3 + x) = 0
x((-6 + 6x) + -5x * (-1 + x) + x2(-1 + x))(1 + x)(2 + x)(3 + x) = 0
x(-6 + 6x + (-1 * -5x + x * -5x) + x2(-1 + x))(1 + x)(2 + x)(3 + x) = 0
x(-6 + 6x + (5x + -5x2) + x2(-1 + x))(1 + x)(2 + x)(3 + x) = 0
x(-6 + 6x + 5x + -5x2 + (-1 * x2 + x * x2))(1 + x)(2 + x)(3 + x) = 0
x(-6 + 6x + 5x + -5x2 + (-1x2 + x3))(1 + x)(2 + x)(3 + x) = 0

Combine like terms: 6x + 5x = 11x
x(-6 + 11x + -5x2 + -1x2 + x3)(1 + x)(2 + x)(3 + x) = 0

Combine like terms: -5x2 + -1x2 = -6x2
x(-6 + 11x + -6x2 + x3)(1 + x)(2 + x)(3 + x) = 0

Multiply (-6 + 11x + -6x2 + x3) * (1 + x)
x(-6(1 + x) + 11x * (1 + x) + -6x2 * (1 + x) + x3(1 + x))(2 + x)(3 + x) = 0
x((1 * -6 + x * -6) + 11x * (1 + x) + -6x2 * (1 + x) + x3(1 + x))(2 + x)(3 + x) = 0
x((-6 + -6x) + 11x * (1 + x) + -6x2 * (1 + x) + x3(1 + x))(2 + x)(3 + x) = 0
x(-6 + -6x + (1 * 11x + x * 11x) + -6x2 * (1 + x) + x3(1 + x))(2 + x)(3 + x) = 0
x(-6 + -6x + (11x + 11x2) + -6x2 * (1 + x) + x3(1 + x))(2 + x)(3 + x) = 0
x(-6 + -6x + 11x + 11x2 + (1 * -6x2 + x * -6x2) + x3(1 + x))(2 + x)(3 + x) = 0
x(-6 + -6x + 11x + 11x2 + (-6x2 + -6x3) + x3(1 + x))(2 + x)(3 + x) = 0
x(-6 + -6x + 11x + 11x2 + -6x2 + -6x3 + (1 * x3 + x * x3))(2 + x)(3 + x) = 0
x(-6 + -6x + 11x + 11x2 + -6x2 + -6x3 + (1x3 + x4))(2 + x)(3 + x) = 0

Combine like terms: -6x + 11x = 5x
x(-6 + 5x + 11x2 + -6x2 + -6x3 + 1x3 + x4)(2 + x)(3 + x) = 0

Combine like terms: 11x2 + -6x2 = 5x2
x(-6 + 5x + 5x2 + -6x3 + 1x3 + x4)(2 + x)(3 + x) = 0

Combine like terms: -6x3 + 1x3 = -5x3
x(-6 + 5x + 5x2 + -5x3 + x4)(2 + x)(3 + x) = 0

Multiply (-6 + 5x + 5x2 + -5x3 + x4) * (2 + x)
x(-6(2 + x) + 5x * (2 + x) + 5x2 * (2 + x) + -5x3 * (2 + x) + x4(2 + x))(3 + x) = 0
x((2 * -6 + x * -6) + 5x * (2 + x) + 5x2 * (2 + x) + -5x3 * (2 + x) + x4(2 + x))(3 + x) = 0
x((-12 + -6x) + 5x * (2 + x) + 5x2 * (2 + x) + -5x3 * (2 + x) + x4(2 + x))(3 + x) = 0
x(-12 + -6x + (2 * 5x + x * 5x) + 5x2 * (2 + x) + -5x3 * (2 + x) + x4(2 + x))(3 + x) = 0
x(-12 + -6x + (10x + 5x2) + 5x2 * (2 + x) + -5x3 * (2 + x) + x4(2 + x))(3 + x) = 0
x(-12 + -6x + 10x + 5x2 + (2 * 5x2 + x * 5x2) + -5x3 * (2 + x) + x4(2 + x))(3 + x) = 0
x(-12 + -6x + 10x + 5x2 + (10x2 + 5x3) + -5x3 * (2 + x) + x4(2 + x))(3 + x) = 0
x(-12 + -6x + 10x + 5x2 + 10x2 + 5x3 + (2 * -5x3 + x * -5x3) + x4(2 + x))(3 + x) = 0
x(-12 + -6x + 10x + 5x2 + 10x2 + 5x3 + (-10x3 + -5x4) + x4(2 + x))(3 + x) = 0
x(-12 + -6x + 10x + 5x2 + 10x2 + 5x3 + -10x3 + -5x4 + (2 * x4 + x * x4))(3 + x) = 0
x(-12 + -6x + 10x + 5x2 + 10x2 + 5x3 + -10x3 + -5x4 + (2x4 + x5))(3 + x) = 0

Combine like terms: -6x + 10x = 4x
x(-12 + 4x + 5x2 + 10x2 + 5x3 + -10x3 + -5x4 + 2x4 + x5)(3 + x) = 0

Combine like terms: 5x2 + 10x2 = 15x2
x(-12 + 4x + 15x2 + 5x3 + -10x3 + -5x4 + 2x4 + x5)(3 + x) = 0

Combine like terms: 5x3 + -10x3 = -5x3
x(-12 + 4x + 15x2 + -5x3 + -5x4 + 2x4 + x5)(3 + x) = 0

Combine like terms: -5x4 + 2x4 = -3x4
x(-12 + 4x + 15x2 + -5x3 + -3x4 + x5)(3 + x) = 0

Multiply (-12 + 4x + 15x2 + -5x3 + -3x4 + x5) * (3 + x)
x(-12(3 + x) + 4x * (3 + x) + 15x2 * (3 + x) + -5x3 * (3 + x) + -3x4 * (3 + x) + x5(3 + x)) = 0
x((3 * -12 + x * -12) + 4x * (3 + x) + 15x2 * (3 + x) + -5x3 * (3 + x) + -3x4 * (3 + x) + x5(3 + x)) = 0
x((-36 + -12x) + 4x * (3 + x) + 15x2 * (3 + x) + -5x3 * (3 + x) + -3x4 * (3 + x) + x5(3 + x)) = 0
x(-36 + -12x + (3 * 4x + x * 4x) + 15x2 * (3 + x) + -5x3 * (3 + x) + -3x4 * (3 + x) + x5(3 + x)) = 0
x(-36 + -12x + (12x + 4x2) + 15x2 * (3 + x) + -5x3 * (3 + x) + -3x4 * (3 + x) + x5(3 + x)) = 0
x(-36 + -12x + 12x + 4x2 + (3 * 15x2 + x * 15x2) + -5x3 * (3 + x) + -3x4 * (3 + x) + x5(3 + x)) = 0
x(-36 + -12x + 12x + 4x2 + (45x2 + 15x3) + -5x3 * (3 + x) + -3x4 * (3 + x) + x5(3 + x)) = 0
x(-36 + -12x + 12x + 4x2 + 45x2 + 15x3 + (3 * -5x3 + x * -5x3) + -3x4 * (3 + x) + x5(3 + x)) = 0
x(-36 + -12x + 12x + 4x2 + 45x2 + 15x3 + (-15x3 + -5x4) + -3x4 * (3 + x) + x5(3 + x)) = 0
x(-36 + -12x + 12x + 4x2 + 45x2 + 15x3 + -15x3 + -5x4 + (3 * -3x4 + x * -3x4) + x5(3 + x)) = 0
x(-36 + -12x + 12x + 4x2 + 45x2 + 15x3 + -15x3 + -5x4 + (-9x4 + -3x5) + x5(3 + x)) = 0
x(-36 + -12x + 12x + 4x2 + 45x2 + 15x3 + -15x3 + -5x4 + -9x4 + -3x5 + (3 * x5 + x * x5)) = 0
x(-36 + -12x + 12x + 4x2 + 45x2 + 15x3 + -15x3 + -5x4 + -9x4 + -3x5 + (3x5 + x6)) = 0

Combine like terms: -12x + 12x = 0
x(-36 + 0 + 4x2 + 45x2 + 15x3 + -15x3 + -5x4 + -9x4 + -3x5 + 3x5 + x6) = 0
x(-36 + 4x2 + 45x2 + 15x3 + -15x3 + -5x4 + -9x4 + -3x5 + 3x5 + x6) = 0

Combine like terms: 4x2 + 45x2 = 49x2
x(-36 + 49x2 + 15x3 + -15x3 + -5x4 + -9x4 + -3x5 + 3x5 + x6) = 0

Combine like terms: 15x3 + -15x3 = 0
x(-36 + 49x2 + 0 + -5x4 + -9x4 + -3x5 + 3x5 + x6) = 0
x(-36 + 49x2 + -5x4 + -9x4 + -3x5 + 3x5 + x6) = 0

Combine like terms: -5x4 + -9x4 = -14x4
x(-36 + 49x2 + -14x4 + -3x5 + 3x5 + x6) = 0

Combine like terms: -3x5 + 3x5 = 0
x(-36 + 49x2 + -14x4 + 0 + x6) = 0
x(-36 + 49x2 + -14x4 + x6) = 0
(-36 * x + 49x2 * x + -14x4 * x + x6 * x) = 0
(-36x + 49x3 + -14x5 + x7) = 0

Solving
-36x + 49x3 + -14x5 + x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-36 + 49x2 + -14x4 + x6) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-36 + 49x2 + -14x4 + x6)' equal to zero and attempt to solve:

Simplifying
-36 + 49x2 + -14x4 + x6 = 0

Solving
-36 + 49x2 + -14x4 + x6 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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