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

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Solution for (2-x)(1+x)(3-x)(x-5)=0 equation:


Simplifying
(2 + -1x)(1 + x)(3 + -1x)(x + -5) = 0

Reorder the terms:
(2 + -1x)(1 + x)(3 + -1x)(-5 + x) = 0

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

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

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

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

Combine like terms: -1x2 + -3x2 = -4x2
(6 + 1x + -4x2 + 1x3)(-5 + x) = 0

Multiply (6 + 1x + -4x2 + 1x3) * (-5 + x)
(6(-5 + x) + 1x * (-5 + x) + -4x2 * (-5 + x) + 1x3 * (-5 + x)) = 0
((-5 * 6 + x * 6) + 1x * (-5 + x) + -4x2 * (-5 + x) + 1x3 * (-5 + x)) = 0
((-30 + 6x) + 1x * (-5 + x) + -4x2 * (-5 + x) + 1x3 * (-5 + x)) = 0
(-30 + 6x + (-5 * 1x + x * 1x) + -4x2 * (-5 + x) + 1x3 * (-5 + x)) = 0
(-30 + 6x + (-5x + 1x2) + -4x2 * (-5 + x) + 1x3 * (-5 + x)) = 0
(-30 + 6x + -5x + 1x2 + (-5 * -4x2 + x * -4x2) + 1x3 * (-5 + x)) = 0
(-30 + 6x + -5x + 1x2 + (20x2 + -4x3) + 1x3 * (-5 + x)) = 0
(-30 + 6x + -5x + 1x2 + 20x2 + -4x3 + (-5 * 1x3 + x * 1x3)) = 0
(-30 + 6x + -5x + 1x2 + 20x2 + -4x3 + (-5x3 + 1x4)) = 0

Combine like terms: 6x + -5x = 1x
(-30 + 1x + 1x2 + 20x2 + -4x3 + -5x3 + 1x4) = 0

Combine like terms: 1x2 + 20x2 = 21x2
(-30 + 1x + 21x2 + -4x3 + -5x3 + 1x4) = 0

Combine like terms: -4x3 + -5x3 = -9x3
(-30 + 1x + 21x2 + -9x3 + 1x4) = 0

Solving
-30 + 1x + 21x2 + -9x3 + 1x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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