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

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


Simplifying
(X + 1)(x2 + -1x + 1) = 3 + -1(2 + -1x3)

Reorder the terms:
(1 + X)(x2 + -1x + 1) = 3 + -1(2 + -1x3)

Reorder the terms:
(1 + X)(1 + -1x + x2) = 3 + -1(2 + -1x3)

Multiply (1 + X) * (1 + -1x + x2)
(1(1 + -1x + x2) + X(1 + -1x + x2)) = 3 + -1(2 + -1x3)
((1 * 1 + -1x * 1 + x2 * 1) + X(1 + -1x + x2)) = 3 + -1(2 + -1x3)
((1 + -1x + 1x2) + X(1 + -1x + x2)) = 3 + -1(2 + -1x3)
(1 + -1x + 1x2 + (1 * X + -1x * X + x2 * X)) = 3 + -1(2 + -1x3)
(1 + -1x + 1x2 + (1X + -1xX + x2X)) = 3 + -1(2 + -1x3)

Reorder the terms:
(1 + 1X + -1x + -1xX + 1x2 + x2X) = 3 + -1(2 + -1x3)
(1 + 1X + -1x + -1xX + 1x2 + x2X) = 3 + -1(2 + -1x3)
1 + 1X + -1x + -1xX + 1x2 + x2X = 3 + (2 * -1 + -1x3 * -1)
1 + 1X + -1x + -1xX + 1x2 + x2X = 3 + (-2 + 1x3)

Combine like terms: 3 + -2 = 1
1 + 1X + -1x + -1xX + 1x2 + x2X = 1 + 1x3

Add '-1' to each side of the equation.
1 + 1X + -1x + -1xX + 1x2 + -1 + x2X = 1 + -1 + 1x3

Reorder the terms:
1 + -1 + 1X + -1x + -1xX + 1x2 + x2X = 1 + -1 + 1x3

Combine like terms: 1 + -1 = 0
0 + 1X + -1x + -1xX + 1x2 + x2X = 1 + -1 + 1x3
1X + -1x + -1xX + 1x2 + x2X = 1 + -1 + 1x3

Combine like terms: 1 + -1 = 0
1X + -1x + -1xX + 1x2 + x2X = 0 + 1x3
1X + -1x + -1xX + 1x2 + x2X = 1x3

Solving
1X + -1x + -1xX + 1x2 + x2X = 1x3

Solving for variable 'X'.

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

Add 'x' to each side of the equation.
1X + -1x + -1xX + 1x2 + x + x2X = x + 1x3

Reorder the terms:
1X + -1x + x + -1xX + 1x2 + x2X = x + 1x3

Combine like terms: -1x + x = 0
1X + 0 + -1xX + 1x2 + x2X = x + 1x3
1X + -1xX + 1x2 + x2X = x + 1x3

Add '-1x2' to each side of the equation.
1X + -1xX + 1x2 + -1x2 + x2X = x + -1x2 + 1x3

Combine like terms: 1x2 + -1x2 = 0
1X + -1xX + 0 + x2X = x + -1x2 + 1x3
1X + -1xX + x2X = x + -1x2 + 1x3

Reorder the terms:
1X + -1x + -1xX + x2 + x2X + -1x3 = x + -1x2 + 1x3 + -1x + x2 + -1x3

Reorder the terms:
1X + -1x + -1xX + x2 + x2X + -1x3 = x + -1x + -1x2 + x2 + 1x3 + -1x3

Combine like terms: x + -1x = 0
1X + -1x + -1xX + x2 + x2X + -1x3 = 0 + -1x2 + x2 + 1x3 + -1x3
1X + -1x + -1xX + x2 + x2X + -1x3 = -1x2 + x2 + 1x3 + -1x3

Combine like terms: -1x2 + x2 = 0
1X + -1x + -1xX + x2 + x2X + -1x3 = 0 + 1x3 + -1x3
1X + -1x + -1xX + x2 + x2X + -1x3 = 1x3 + -1x3

Combine like terms: 1x3 + -1x3 = 0
1X + -1x + -1xX + x2 + x2X + -1x3 = 0

The solution to this equation could not be determined.

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