(x^2-3x+2)(x^2-3x+6)=60

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Solution for (x^2-3x+2)(x^2-3x+6)=60 equation: 


Simplifying
(x2 + -3x + 2)(x2 + -3x + 6) = 60

Reorder the terms:
(2 + -3x + x2)(x2 + -3x + 6) = 60

Reorder the terms:
(2 + -3x + x2)(6 + -3x + x2) = 60

Multiply (2 + -3x + x2) * (6 + -3x + x2)
(2(6 + -3x + x2) + -3x * (6 + -3x + x2) + x2(6 + -3x + x2)) = 60
((6 * 2 + -3x * 2 + x2 * 2) + -3x * (6 + -3x + x2) + x2(6 + -3x + x2)) = 60
((12 + -6x + 2x2) + -3x * (6 + -3x + x2) + x2(6 + -3x + x2)) = 60
(12 + -6x + 2x2 + (6 * -3x + -3x * -3x + x2 * -3x) + x2(6 + -3x + x2)) = 60
(12 + -6x + 2x2 + (-18x + 9x2 + -3x3) + x2(6 + -3x + x2)) = 60
(12 + -6x + 2x2 + -18x + 9x2 + -3x3 + (6 * x2 + -3x * x2 + x2 * x2)) = 60
(12 + -6x + 2x2 + -18x + 9x2 + -3x3 + (6x2 + -3x3 + x4)) = 60

Reorder the terms:
(12 + -6x + -18x + 2x2 + 9x2 + 6x2 + -3x3 + -3x3 + x4) = 60

Combine like terms: -6x + -18x = -24x
(12 + -24x + 2x2 + 9x2 + 6x2 + -3x3 + -3x3 + x4) = 60

Combine like terms: 2x2 + 9x2 = 11x2
(12 + -24x + 11x2 + 6x2 + -3x3 + -3x3 + x4) = 60

Combine like terms: 11x2 + 6x2 = 17x2
(12 + -24x + 17x2 + -3x3 + -3x3 + x4) = 60

Combine like terms: -3x3 + -3x3 = -6x3
(12 + -24x + 17x2 + -6x3 + x4) = 60

Solving
12 + -24x + 17x2 + -6x3 + x4 = 60

Solving for variable 'x'.

Reorder the terms:
12 + -60 + -24x + 17x2 + -6x3 + x4 = 60 + -60

Combine like terms: 12 + -60 = -48
-48 + -24x + 17x2 + -6x3 + x4 = 60 + -60

Combine like terms: 60 + -60 = 0
-48 + -24x + 17x2 + -6x3 + x4 = 0

The solution to this equation could not be determined.

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