(x^3-1)(X^2+x+3)=0

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Solution for (x^3-1)(X^2+x+3)=0 equation:


Simplifying
(x3 + -1)(X2 + x + 3) = 0

Reorder the terms:
(-1 + x3)(X2 + x + 3) = 0

Reorder the terms:
(-1 + x3)(3 + X2 + x) = 0

Multiply (-1 + x3) * (3 + X2 + x)
(-1(3 + X2 + x) + x3(3 + X2 + x)) = 0
((3 * -1 + X2 * -1 + x * -1) + x3(3 + X2 + x)) = 0
((-3 + -1X2 + -1x) + x3(3 + X2 + x)) = 0
(-3 + -1X2 + -1x + (3 * x3 + X2 * x3 + x * x3)) = 0
(-3 + -1X2 + -1x + (3x3 + x3X2 + x4)) = 0
(-3 + -1X2 + -1x + 3x3 + x3X2 + x4) = 0

Solving
-3 + -1X2 + -1x + 3x3 + x3X2 + x4 = 0

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + -1X2 + -1x + 3x3 + x3X2 + 3 + x4 = 0 + 3

Reorder the terms:
-3 + 3 + -1X2 + -1x + 3x3 + x3X2 + x4 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1X2 + -1x + 3x3 + x3X2 + x4 = 0 + 3
-1X2 + -1x + 3x3 + x3X2 + x4 = 0 + 3

Combine like terms: 0 + 3 = 3
-1X2 + -1x + 3x3 + x3X2 + x4 = 3

Add 'x' to each side of the equation.
-1X2 + -1x + 3x3 + x3X2 + x + x4 = 3 + x

Reorder the terms:
-1X2 + -1x + x + 3x3 + x3X2 + x4 = 3 + x

Combine like terms: -1x + x = 0
-1X2 + 0 + 3x3 + x3X2 + x4 = 3 + x
-1X2 + 3x3 + x3X2 + x4 = 3 + x

Add '-3x3' to each side of the equation.
-1X2 + 3x3 + x3X2 + -3x3 + x4 = 3 + x + -3x3

Reorder the terms:
-1X2 + 3x3 + -3x3 + x3X2 + x4 = 3 + x + -3x3

Combine like terms: 3x3 + -3x3 = 0
-1X2 + 0 + x3X2 + x4 = 3 + x + -3x3
-1X2 + x3X2 + x4 = 3 + x + -3x3

Add '-1x4' to each side of the equation.
-1X2 + x3X2 + x4 + -1x4 = 3 + x + -3x3 + -1x4

Combine like terms: x4 + -1x4 = 0
-1X2 + x3X2 + 0 = 3 + x + -3x3 + -1x4
-1X2 + x3X2 = 3 + x + -3x3 + -1x4

Reorder the terms:
-3 + -1X2 + -1x + 3x3 + x3X2 + x4 = 3 + x + -3x3 + -1x4 + -3 + -1x + 3x3 + x4

Reorder the terms:
-3 + -1X2 + -1x + 3x3 + x3X2 + x4 = 3 + -3 + x + -1x + -3x3 + 3x3 + -1x4 + x4

Combine like terms: 3 + -3 = 0
-3 + -1X2 + -1x + 3x3 + x3X2 + x4 = 0 + x + -1x + -3x3 + 3x3 + -1x4 + x4
-3 + -1X2 + -1x + 3x3 + x3X2 + x4 = x + -1x + -3x3 + 3x3 + -1x4 + x4

Combine like terms: x + -1x = 0
-3 + -1X2 + -1x + 3x3 + x3X2 + x4 = 0 + -3x3 + 3x3 + -1x4 + x4
-3 + -1X2 + -1x + 3x3 + x3X2 + x4 = -3x3 + 3x3 + -1x4 + x4

Combine like terms: -3x3 + 3x3 = 0
-3 + -1X2 + -1x + 3x3 + x3X2 + x4 = 0 + -1x4 + x4
-3 + -1X2 + -1x + 3x3 + x3X2 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
-3 + -1X2 + -1x + 3x3 + x3X2 + x4 = 0

The solution to this equation could not be determined.

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