(x^2-5+1)(X^2-x+6)=0

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Solution for (x^2-5+1)(X^2-x+6)=0 equation: 


Simplifying
(x2 + -5 + 1)(X2 + -1x + 6) = 0

Reorder the terms:
(-5 + 1 + x2)(X2 + -1x + 6) = 0

Combine like terms: -5 + 1 = -4
(-4 + x2)(X2 + -1x + 6) = 0

Reorder the terms:
(-4 + x2)(6 + X2 + -1x) = 0

Multiply (-4 + x2) * (6 + X2 + -1x)
(-4(6 + X2 + -1x) + x2(6 + X2 + -1x)) = 0
((6 * -4 + X2 * -4 + -1x * -4) + x2(6 + X2 + -1x)) = 0
((-24 + -4X2 + 4x) + x2(6 + X2 + -1x)) = 0
(-24 + -4X2 + 4x + (6 * x2 + X2 * x2 + -1x * x2)) = 0
(-24 + -4X2 + 4x + (6x2 + x2X2 + -1x3)) = 0
(-24 + -4X2 + 4x + 6x2 + x2X2 + -1x3) = 0

Solving
-24 + -4X2 + 4x + 6x2 + x2X2 + -1x3 = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '24' to each side of the equation.
-24 + -4X2 + 4x + 6x2 + x2X2 + 24 + -1x3 = 0 + 24

Reorder the terms:
-24 + 24 + -4X2 + 4x + 6x2 + x2X2 + -1x3 = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -4X2 + 4x + 6x2 + x2X2 + -1x3 = 0 + 24
-4X2 + 4x + 6x2 + x2X2 + -1x3 = 0 + 24

Combine like terms: 0 + 24 = 24
-4X2 + 4x + 6x2 + x2X2 + -1x3 = 24

Add '-4x' to each side of the equation.
-4X2 + 4x + 6x2 + x2X2 + -4x + -1x3 = 24 + -4x

Reorder the terms:
-4X2 + 4x + -4x + 6x2 + x2X2 + -1x3 = 24 + -4x

Combine like terms: 4x + -4x = 0
-4X2 + 0 + 6x2 + x2X2 + -1x3 = 24 + -4x
-4X2 + 6x2 + x2X2 + -1x3 = 24 + -4x

Add '-6x2' to each side of the equation.
-4X2 + 6x2 + x2X2 + -6x2 + -1x3 = 24 + -4x + -6x2

Reorder the terms:
-4X2 + 6x2 + -6x2 + x2X2 + -1x3 = 24 + -4x + -6x2

Combine like terms: 6x2 + -6x2 = 0
-4X2 + 0 + x2X2 + -1x3 = 24 + -4x + -6x2
-4X2 + x2X2 + -1x3 = 24 + -4x + -6x2

Add 'x3' to each side of the equation.
-4X2 + x2X2 + -1x3 + x3 = 24 + -4x + -6x2 + x3

Combine like terms: -1x3 + x3 = 0
-4X2 + x2X2 + 0 = 24 + -4x + -6x2 + x3
-4X2 + x2X2 = 24 + -4x + -6x2 + x3

Reorder the terms:
-24 + -4X2 + 4x + 6x2 + x2X2 + -1x3 = 24 + -4x + -6x2 + x3 + -24 + 4x + 6x2 + -1x3

Reorder the terms:
-24 + -4X2 + 4x + 6x2 + x2X2 + -1x3 = 24 + -24 + -4x + 4x + -6x2 + 6x2 + x3 + -1x3

Combine like terms: 24 + -24 = 0
-24 + -4X2 + 4x + 6x2 + x2X2 + -1x3 = 0 + -4x + 4x + -6x2 + 6x2 + x3 + -1x3
-24 + -4X2 + 4x + 6x2 + x2X2 + -1x3 = -4x + 4x + -6x2 + 6x2 + x3 + -1x3

Combine like terms: -4x + 4x = 0
-24 + -4X2 + 4x + 6x2 + x2X2 + -1x3 = 0 + -6x2 + 6x2 + x3 + -1x3
-24 + -4X2 + 4x + 6x2 + x2X2 + -1x3 = -6x2 + 6x2 + x3 + -1x3

Combine like terms: -6x2 + 6x2 = 0
-24 + -4X2 + 4x + 6x2 + x2X2 + -1x3 = 0 + x3 + -1x3
-24 + -4X2 + 4x + 6x2 + x2X2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-24 + -4X2 + 4x + 6x2 + x2X2 + -1x3 = 0

The solution to this equation could not be determined.

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