(x^2-4x+4)(x^2-8x+17)=0

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Solution for (x^2-4x+4)(x^2-8x+17)=0 equation:


Simplifying
(x2 + -4x + 4)(x2 + -8x + 17) = 0

Reorder the terms:
(4 + -4x + x2)(x2 + -8x + 17) = 0

Reorder the terms:
(4 + -4x + x2)(17 + -8x + x2) = 0

Multiply (4 + -4x + x2) * (17 + -8x + x2)
(4(17 + -8x + x2) + -4x * (17 + -8x + x2) + x2(17 + -8x + x2)) = 0
((17 * 4 + -8x * 4 + x2 * 4) + -4x * (17 + -8x + x2) + x2(17 + -8x + x2)) = 0
((68 + -32x + 4x2) + -4x * (17 + -8x + x2) + x2(17 + -8x + x2)) = 0
(68 + -32x + 4x2 + (17 * -4x + -8x * -4x + x2 * -4x) + x2(17 + -8x + x2)) = 0
(68 + -32x + 4x2 + (-68x + 32x2 + -4x3) + x2(17 + -8x + x2)) = 0
(68 + -32x + 4x2 + -68x + 32x2 + -4x3 + (17 * x2 + -8x * x2 + x2 * x2)) = 0
(68 + -32x + 4x2 + -68x + 32x2 + -4x3 + (17x2 + -8x3 + x4)) = 0

Reorder the terms:
(68 + -32x + -68x + 4x2 + 32x2 + 17x2 + -4x3 + -8x3 + x4) = 0

Combine like terms: -32x + -68x = -100x
(68 + -100x + 4x2 + 32x2 + 17x2 + -4x3 + -8x3 + x4) = 0

Combine like terms: 4x2 + 32x2 = 36x2
(68 + -100x + 36x2 + 17x2 + -4x3 + -8x3 + x4) = 0

Combine like terms: 36x2 + 17x2 = 53x2
(68 + -100x + 53x2 + -4x3 + -8x3 + x4) = 0

Combine like terms: -4x3 + -8x3 = -12x3
(68 + -100x + 53x2 + -12x3 + x4) = 0

Solving
68 + -100x + 53x2 + -12x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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