(x^2-2x+1)(x^2-12x+20)=0

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Solution for (x^2-2x+1)(x^2-12x+20)=0 equation:


Simplifying
(x2 + -2x + 1)(x2 + -12x + 20) = 0

Reorder the terms:
(1 + -2x + x2)(x2 + -12x + 20) = 0

Reorder the terms:
(1 + -2x + x2)(20 + -12x + x2) = 0

Multiply (1 + -2x + x2) * (20 + -12x + x2)
(1(20 + -12x + x2) + -2x * (20 + -12x + x2) + x2(20 + -12x + x2)) = 0
((20 * 1 + -12x * 1 + x2 * 1) + -2x * (20 + -12x + x2) + x2(20 + -12x + x2)) = 0
((20 + -12x + 1x2) + -2x * (20 + -12x + x2) + x2(20 + -12x + x2)) = 0
(20 + -12x + 1x2 + (20 * -2x + -12x * -2x + x2 * -2x) + x2(20 + -12x + x2)) = 0
(20 + -12x + 1x2 + (-40x + 24x2 + -2x3) + x2(20 + -12x + x2)) = 0
(20 + -12x + 1x2 + -40x + 24x2 + -2x3 + (20 * x2 + -12x * x2 + x2 * x2)) = 0
(20 + -12x + 1x2 + -40x + 24x2 + -2x3 + (20x2 + -12x3 + x4)) = 0

Reorder the terms:
(20 + -12x + -40x + 1x2 + 24x2 + 20x2 + -2x3 + -12x3 + x4) = 0

Combine like terms: -12x + -40x = -52x
(20 + -52x + 1x2 + 24x2 + 20x2 + -2x3 + -12x3 + x4) = 0

Combine like terms: 1x2 + 24x2 = 25x2
(20 + -52x + 25x2 + 20x2 + -2x3 + -12x3 + x4) = 0

Combine like terms: 25x2 + 20x2 = 45x2
(20 + -52x + 45x2 + -2x3 + -12x3 + x4) = 0

Combine like terms: -2x3 + -12x3 = -14x3
(20 + -52x + 45x2 + -14x3 + x4) = 0

Solving
20 + -52x + 45x2 + -14x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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