(x-3)(x-5)(x+2)(x+6)=0

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Solution for (x-3)(x-5)(x+2)(x+6)=0 equation: 


Simplifying
(x + -3)(x + -5)(x + 2)(x + 6) = 0

Reorder the terms:
(-3 + x)(x + -5)(x + 2)(x + 6) = 0

Reorder the terms:
(-3 + x)(-5 + x)(x + 2)(x + 6) = 0

Reorder the terms:
(-3 + x)(-5 + x)(2 + x)(x + 6) = 0

Reorder the terms:
(-3 + x)(-5 + x)(2 + x)(6 + x) = 0

Multiply (-3 + x) * (-5 + x)
(-3(-5 + x) + x(-5 + x))(2 + x)(6 + x) = 0
((-5 * -3 + x * -3) + x(-5 + x))(2 + x)(6 + x) = 0
((15 + -3x) + x(-5 + x))(2 + x)(6 + x) = 0
(15 + -3x + (-5 * x + x * x))(2 + x)(6 + x) = 0
(15 + -3x + (-5x + x2))(2 + x)(6 + x) = 0

Combine like terms: -3x + -5x = -8x
(15 + -8x + x2)(2 + x)(6 + x) = 0

Multiply (15 + -8x + x2) * (2 + x)
(15(2 + x) + -8x * (2 + x) + x2(2 + x))(6 + x) = 0
((2 * 15 + x * 15) + -8x * (2 + x) + x2(2 + x))(6 + x) = 0
((30 + 15x) + -8x * (2 + x) + x2(2 + x))(6 + x) = 0
(30 + 15x + (2 * -8x + x * -8x) + x2(2 + x))(6 + x) = 0
(30 + 15x + (-16x + -8x2) + x2(2 + x))(6 + x) = 0
(30 + 15x + -16x + -8x2 + (2 * x2 + x * x2))(6 + x) = 0
(30 + 15x + -16x + -8x2 + (2x2 + x3))(6 + x) = 0

Combine like terms: 15x + -16x = -1x
(30 + -1x + -8x2 + 2x2 + x3)(6 + x) = 0

Combine like terms: -8x2 + 2x2 = -6x2
(30 + -1x + -6x2 + x3)(6 + x) = 0

Multiply (30 + -1x + -6x2 + x3) * (6 + x)
(30(6 + x) + -1x * (6 + x) + -6x2 * (6 + x) + x3(6 + x)) = 0
((6 * 30 + x * 30) + -1x * (6 + x) + -6x2 * (6 + x) + x3(6 + x)) = 0
((180 + 30x) + -1x * (6 + x) + -6x2 * (6 + x) + x3(6 + x)) = 0
(180 + 30x + (6 * -1x + x * -1x) + -6x2 * (6 + x) + x3(6 + x)) = 0
(180 + 30x + (-6x + -1x2) + -6x2 * (6 + x) + x3(6 + x)) = 0
(180 + 30x + -6x + -1x2 + (6 * -6x2 + x * -6x2) + x3(6 + x)) = 0
(180 + 30x + -6x + -1x2 + (-36x2 + -6x3) + x3(6 + x)) = 0
(180 + 30x + -6x + -1x2 + -36x2 + -6x3 + (6 * x3 + x * x3)) = 0
(180 + 30x + -6x + -1x2 + -36x2 + -6x3 + (6x3 + x4)) = 0

Combine like terms: 30x + -6x = 24x
(180 + 24x + -1x2 + -36x2 + -6x3 + 6x3 + x4) = 0

Combine like terms: -1x2 + -36x2 = -37x2
(180 + 24x + -37x2 + -6x3 + 6x3 + x4) = 0

Combine like terms: -6x3 + 6x3 = 0
(180 + 24x + -37x2 + 0 + x4) = 0
(180 + 24x + -37x2 + x4) = 0

Solving
180 + 24x + -37x2 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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