(x^2-2x+3)(x^2-2x+4)=6

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Solution for (x^2-2x+3)(x^2-2x+4)=6 equation: 


Simplifying
(x2 + -2x + 3)(x2 + -2x + 4) = 6

Reorder the terms:
(3 + -2x + x2)(x2 + -2x + 4) = 6

Reorder the terms:
(3 + -2x + x2)(4 + -2x + x2) = 6

Multiply (3 + -2x + x2) * (4 + -2x + x2)
(3(4 + -2x + x2) + -2x * (4 + -2x + x2) + x2(4 + -2x + x2)) = 6
((4 * 3 + -2x * 3 + x2 * 3) + -2x * (4 + -2x + x2) + x2(4 + -2x + x2)) = 6
((12 + -6x + 3x2) + -2x * (4 + -2x + x2) + x2(4 + -2x + x2)) = 6
(12 + -6x + 3x2 + (4 * -2x + -2x * -2x + x2 * -2x) + x2(4 + -2x + x2)) = 6
(12 + -6x + 3x2 + (-8x + 4x2 + -2x3) + x2(4 + -2x + x2)) = 6
(12 + -6x + 3x2 + -8x + 4x2 + -2x3 + (4 * x2 + -2x * x2 + x2 * x2)) = 6
(12 + -6x + 3x2 + -8x + 4x2 + -2x3 + (4x2 + -2x3 + x4)) = 6

Reorder the terms:
(12 + -6x + -8x + 3x2 + 4x2 + 4x2 + -2x3 + -2x3 + x4) = 6

Combine like terms: -6x + -8x = -14x
(12 + -14x + 3x2 + 4x2 + 4x2 + -2x3 + -2x3 + x4) = 6

Combine like terms: 3x2 + 4x2 = 7x2
(12 + -14x + 7x2 + 4x2 + -2x3 + -2x3 + x4) = 6

Combine like terms: 7x2 + 4x2 = 11x2
(12 + -14x + 11x2 + -2x3 + -2x3 + x4) = 6

Combine like terms: -2x3 + -2x3 = -4x3
(12 + -14x + 11x2 + -4x3 + x4) = 6

Solving
12 + -14x + 11x2 + -4x3 + x4 = 6

Solving for variable 'x'.

Reorder the terms:
12 + -6 + -14x + 11x2 + -4x3 + x4 = 6 + -6

Combine like terms: 12 + -6 = 6
6 + -14x + 11x2 + -4x3 + x4 = 6 + -6

Combine like terms: 6 + -6 = 0
6 + -14x + 11x2 + -4x3 + x4 = 0

The solution to this equation could not be determined.

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