(x-3)(x+7)(-x+1)(x+5)=0

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Solution for (x-3)(x+7)(-x+1)(x+5)=0 equation: 


Simplifying
(x + -3)(x + 7)(-1x + 1)(x + 5) = 0

Reorder the terms:
(-3 + x)(x + 7)(-1x + 1)(x + 5) = 0

Reorder the terms:
(-3 + x)(7 + x)(-1x + 1)(x + 5) = 0

Reorder the terms:
(-3 + x)(7 + x)(1 + -1x)(x + 5) = 0

Reorder the terms:
(-3 + x)(7 + x)(1 + -1x)(5 + x) = 0

Multiply (-3 + x) * (7 + x)
(-3(7 + x) + x(7 + x))(1 + -1x)(5 + x) = 0
((7 * -3 + x * -3) + x(7 + x))(1 + -1x)(5 + x) = 0
((-21 + -3x) + x(7 + x))(1 + -1x)(5 + x) = 0
(-21 + -3x + (7 * x + x * x))(1 + -1x)(5 + x) = 0
(-21 + -3x + (7x + x2))(1 + -1x)(5 + x) = 0

Combine like terms: -3x + 7x = 4x
(-21 + 4x + x2)(1 + -1x)(5 + x) = 0

Multiply (-21 + 4x + x2) * (1 + -1x)
(-21(1 + -1x) + 4x * (1 + -1x) + x2(1 + -1x))(5 + x) = 0
((1 * -21 + -1x * -21) + 4x * (1 + -1x) + x2(1 + -1x))(5 + x) = 0
((-21 + 21x) + 4x * (1 + -1x) + x2(1 + -1x))(5 + x) = 0
(-21 + 21x + (1 * 4x + -1x * 4x) + x2(1 + -1x))(5 + x) = 0
(-21 + 21x + (4x + -4x2) + x2(1 + -1x))(5 + x) = 0
(-21 + 21x + 4x + -4x2 + (1 * x2 + -1x * x2))(5 + x) = 0
(-21 + 21x + 4x + -4x2 + (1x2 + -1x3))(5 + x) = 0

Combine like terms: 21x + 4x = 25x
(-21 + 25x + -4x2 + 1x2 + -1x3)(5 + x) = 0

Combine like terms: -4x2 + 1x2 = -3x2
(-21 + 25x + -3x2 + -1x3)(5 + x) = 0

Multiply (-21 + 25x + -3x2 + -1x3) * (5 + x)
(-21(5 + x) + 25x * (5 + x) + -3x2 * (5 + x) + -1x3 * (5 + x)) = 0
((5 * -21 + x * -21) + 25x * (5 + x) + -3x2 * (5 + x) + -1x3 * (5 + x)) = 0
((-105 + -21x) + 25x * (5 + x) + -3x2 * (5 + x) + -1x3 * (5 + x)) = 0
(-105 + -21x + (5 * 25x + x * 25x) + -3x2 * (5 + x) + -1x3 * (5 + x)) = 0
(-105 + -21x + (125x + 25x2) + -3x2 * (5 + x) + -1x3 * (5 + x)) = 0
(-105 + -21x + 125x + 25x2 + (5 * -3x2 + x * -3x2) + -1x3 * (5 + x)) = 0
(-105 + -21x + 125x + 25x2 + (-15x2 + -3x3) + -1x3 * (5 + x)) = 0
(-105 + -21x + 125x + 25x2 + -15x2 + -3x3 + (5 * -1x3 + x * -1x3)) = 0
(-105 + -21x + 125x + 25x2 + -15x2 + -3x3 + (-5x3 + -1x4)) = 0

Combine like terms: -21x + 125x = 104x
(-105 + 104x + 25x2 + -15x2 + -3x3 + -5x3 + -1x4) = 0

Combine like terms: 25x2 + -15x2 = 10x2
(-105 + 104x + 10x2 + -3x3 + -5x3 + -1x4) = 0

Combine like terms: -3x3 + -5x3 = -8x3
(-105 + 104x + 10x2 + -8x3 + -1x4) = 0

Solving
-105 + 104x + 10x2 + -8x3 + -1x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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