(x-2)(x^2+1)(x^2-6x+10)=0

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Solution for (x-2)(x^2+1)(x^2-6x+10)=0 equation: 


Simplifying
(x + -2)(x2 + 1)(x2 + -6x + 10) = 0

Reorder the terms:
(-2 + x)(x2 + 1)(x2 + -6x + 10) = 0

Reorder the terms:
(-2 + x)(1 + x2)(x2 + -6x + 10) = 0

Reorder the terms:
(-2 + x)(1 + x2)(10 + -6x + x2) = 0

Multiply (-2 + x) * (1 + x2)
(-2(1 + x2) + x(1 + x2))(10 + -6x + x2) = 0
((1 * -2 + x2 * -2) + x(1 + x2))(10 + -6x + x2) = 0
((-2 + -2x2) + x(1 + x2))(10 + -6x + x2) = 0
(-2 + -2x2 + (1 * x + x2 * x))(10 + -6x + x2) = 0
(-2 + -2x2 + (1x + x3))(10 + -6x + x2) = 0

Reorder the terms:
(-2 + 1x + -2x2 + x3)(10 + -6x + x2) = 0
(-2 + 1x + -2x2 + x3)(10 + -6x + x2) = 0

Multiply (-2 + 1x + -2x2 + x3) * (10 + -6x + x2)
(-2(10 + -6x + x2) + 1x * (10 + -6x + x2) + -2x2 * (10 + -6x + x2) + x3(10 + -6x + x2)) = 0
((10 * -2 + -6x * -2 + x2 * -2) + 1x * (10 + -6x + x2) + -2x2 * (10 + -6x + x2) + x3(10 + -6x + x2)) = 0
((-20 + 12x + -2x2) + 1x * (10 + -6x + x2) + -2x2 * (10 + -6x + x2) + x3(10 + -6x + x2)) = 0
(-20 + 12x + -2x2 + (10 * 1x + -6x * 1x + x2 * 1x) + -2x2 * (10 + -6x + x2) + x3(10 + -6x + x2)) = 0
(-20 + 12x + -2x2 + (10x + -6x2 + 1x3) + -2x2 * (10 + -6x + x2) + x3(10 + -6x + x2)) = 0
(-20 + 12x + -2x2 + 10x + -6x2 + 1x3 + (10 * -2x2 + -6x * -2x2 + x2 * -2x2) + x3(10 + -6x + x2)) = 0
(-20 + 12x + -2x2 + 10x + -6x2 + 1x3 + (-20x2 + 12x3 + -2x4) + x3(10 + -6x + x2)) = 0
(-20 + 12x + -2x2 + 10x + -6x2 + 1x3 + -20x2 + 12x3 + -2x4 + (10 * x3 + -6x * x3 + x2 * x3)) = 0
(-20 + 12x + -2x2 + 10x + -6x2 + 1x3 + -20x2 + 12x3 + -2x4 + (10x3 + -6x4 + x5)) = 0

Reorder the terms:
(-20 + 12x + 10x + -2x2 + -6x2 + -20x2 + 1x3 + 12x3 + 10x3 + -2x4 + -6x4 + x5) = 0

Combine like terms: 12x + 10x = 22x
(-20 + 22x + -2x2 + -6x2 + -20x2 + 1x3 + 12x3 + 10x3 + -2x4 + -6x4 + x5) = 0

Combine like terms: -2x2 + -6x2 = -8x2
(-20 + 22x + -8x2 + -20x2 + 1x3 + 12x3 + 10x3 + -2x4 + -6x4 + x5) = 0

Combine like terms: -8x2 + -20x2 = -28x2
(-20 + 22x + -28x2 + 1x3 + 12x3 + 10x3 + -2x4 + -6x4 + x5) = 0

Combine like terms: 1x3 + 12x3 = 13x3
(-20 + 22x + -28x2 + 13x3 + 10x3 + -2x4 + -6x4 + x5) = 0

Combine like terms: 13x3 + 10x3 = 23x3
(-20 + 22x + -28x2 + 23x3 + -2x4 + -6x4 + x5) = 0

Combine like terms: -2x4 + -6x4 = -8x4
(-20 + 22x + -28x2 + 23x3 + -8x4 + x5) = 0

Solving
-20 + 22x + -28x2 + 23x3 + -8x4 + x5 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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