(x+5)(x+3)(x-1)(x-5)=0

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Solution for (x+5)(x+3)(x-1)(x-5)=0 equation: 


Simplifying
(x + 5)(x + 3)(x + -1)(x + -5) = 0

Reorder the terms:
(5 + x)(x + 3)(x + -1)(x + -5) = 0

Reorder the terms:
(5 + x)(3 + x)(x + -1)(x + -5) = 0

Reorder the terms:
(5 + x)(3 + x)(-1 + x)(x + -5) = 0

Reorder the terms:
(5 + x)(3 + x)(-1 + x)(-5 + x) = 0

Multiply (5 + x) * (3 + x)
(5(3 + x) + x(3 + x))(-1 + x)(-5 + x) = 0
((3 * 5 + x * 5) + x(3 + x))(-1 + x)(-5 + x) = 0
((15 + 5x) + x(3 + x))(-1 + x)(-5 + x) = 0
(15 + 5x + (3 * x + x * x))(-1 + x)(-5 + x) = 0
(15 + 5x + (3x + x2))(-1 + x)(-5 + x) = 0

Combine like terms: 5x + 3x = 8x
(15 + 8x + x2)(-1 + x)(-5 + x) = 0

Multiply (15 + 8x + x2) * (-1 + x)
(15(-1 + x) + 8x * (-1 + x) + x2(-1 + x))(-5 + x) = 0
((-1 * 15 + x * 15) + 8x * (-1 + x) + x2(-1 + x))(-5 + x) = 0
((-15 + 15x) + 8x * (-1 + x) + x2(-1 + x))(-5 + x) = 0
(-15 + 15x + (-1 * 8x + x * 8x) + x2(-1 + x))(-5 + x) = 0
(-15 + 15x + (-8x + 8x2) + x2(-1 + x))(-5 + x) = 0
(-15 + 15x + -8x + 8x2 + (-1 * x2 + x * x2))(-5 + x) = 0
(-15 + 15x + -8x + 8x2 + (-1x2 + x3))(-5 + x) = 0

Combine like terms: 15x + -8x = 7x
(-15 + 7x + 8x2 + -1x2 + x3)(-5 + x) = 0

Combine like terms: 8x2 + -1x2 = 7x2
(-15 + 7x + 7x2 + x3)(-5 + x) = 0

Multiply (-15 + 7x + 7x2 + x3) * (-5 + x)
(-15(-5 + x) + 7x * (-5 + x) + 7x2 * (-5 + x) + x3(-5 + x)) = 0
((-5 * -15 + x * -15) + 7x * (-5 + x) + 7x2 * (-5 + x) + x3(-5 + x)) = 0
((75 + -15x) + 7x * (-5 + x) + 7x2 * (-5 + x) + x3(-5 + x)) = 0
(75 + -15x + (-5 * 7x + x * 7x) + 7x2 * (-5 + x) + x3(-5 + x)) = 0
(75 + -15x + (-35x + 7x2) + 7x2 * (-5 + x) + x3(-5 + x)) = 0
(75 + -15x + -35x + 7x2 + (-5 * 7x2 + x * 7x2) + x3(-5 + x)) = 0
(75 + -15x + -35x + 7x2 + (-35x2 + 7x3) + x3(-5 + x)) = 0
(75 + -15x + -35x + 7x2 + -35x2 + 7x3 + (-5 * x3 + x * x3)) = 0
(75 + -15x + -35x + 7x2 + -35x2 + 7x3 + (-5x3 + x4)) = 0

Combine like terms: -15x + -35x = -50x
(75 + -50x + 7x2 + -35x2 + 7x3 + -5x3 + x4) = 0

Combine like terms: 7x2 + -35x2 = -28x2
(75 + -50x + -28x2 + 7x3 + -5x3 + x4) = 0

Combine like terms: 7x3 + -5x3 = 2x3
(75 + -50x + -28x2 + 2x3 + x4) = 0

Solving
75 + -50x + -28x2 + 2x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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