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

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


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

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

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

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

Multiply (3 + x) * (-5 + x)
(3(-5 + x) + x(-5 + x))(5 + -1x)(1 + 2x) = 0
((-5 * 3 + x * 3) + x(-5 + x))(5 + -1x)(1 + 2x) = 0
((-15 + 3x) + x(-5 + x))(5 + -1x)(1 + 2x) = 0
(-15 + 3x + (-5 * x + x * x))(5 + -1x)(1 + 2x) = 0
(-15 + 3x + (-5x + x2))(5 + -1x)(1 + 2x) = 0

Combine like terms: 3x + -5x = -2x
(-15 + -2x + x2)(5 + -1x)(1 + 2x) = 0

Multiply (-15 + -2x + x2) * (5 + -1x)
(-15(5 + -1x) + -2x * (5 + -1x) + x2(5 + -1x))(1 + 2x) = 0
((5 * -15 + -1x * -15) + -2x * (5 + -1x) + x2(5 + -1x))(1 + 2x) = 0
((-75 + 15x) + -2x * (5 + -1x) + x2(5 + -1x))(1 + 2x) = 0
(-75 + 15x + (5 * -2x + -1x * -2x) + x2(5 + -1x))(1 + 2x) = 0
(-75 + 15x + (-10x + 2x2) + x2(5 + -1x))(1 + 2x) = 0
(-75 + 15x + -10x + 2x2 + (5 * x2 + -1x * x2))(1 + 2x) = 0
(-75 + 15x + -10x + 2x2 + (5x2 + -1x3))(1 + 2x) = 0

Combine like terms: 15x + -10x = 5x
(-75 + 5x + 2x2 + 5x2 + -1x3)(1 + 2x) = 0

Combine like terms: 2x2 + 5x2 = 7x2
(-75 + 5x + 7x2 + -1x3)(1 + 2x) = 0

Multiply (-75 + 5x + 7x2 + -1x3) * (1 + 2x)
(-75(1 + 2x) + 5x * (1 + 2x) + 7x2 * (1 + 2x) + -1x3 * (1 + 2x)) = 0
((1 * -75 + 2x * -75) + 5x * (1 + 2x) + 7x2 * (1 + 2x) + -1x3 * (1 + 2x)) = 0
((-75 + -150x) + 5x * (1 + 2x) + 7x2 * (1 + 2x) + -1x3 * (1 + 2x)) = 0
(-75 + -150x + (1 * 5x + 2x * 5x) + 7x2 * (1 + 2x) + -1x3 * (1 + 2x)) = 0
(-75 + -150x + (5x + 10x2) + 7x2 * (1 + 2x) + -1x3 * (1 + 2x)) = 0
(-75 + -150x + 5x + 10x2 + (1 * 7x2 + 2x * 7x2) + -1x3 * (1 + 2x)) = 0
(-75 + -150x + 5x + 10x2 + (7x2 + 14x3) + -1x3 * (1 + 2x)) = 0
(-75 + -150x + 5x + 10x2 + 7x2 + 14x3 + (1 * -1x3 + 2x * -1x3)) = 0
(-75 + -150x + 5x + 10x2 + 7x2 + 14x3 + (-1x3 + -2x4)) = 0

Combine like terms: -150x + 5x = -145x
(-75 + -145x + 10x2 + 7x2 + 14x3 + -1x3 + -2x4) = 0

Combine like terms: 10x2 + 7x2 = 17x2
(-75 + -145x + 17x2 + 14x3 + -1x3 + -2x4) = 0

Combine like terms: 14x3 + -1x3 = 13x3
(-75 + -145x + 17x2 + 13x3 + -2x4) = 0

Solving
-75 + -145x + 17x2 + 13x3 + -2x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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