X[x(x+1)+2]+3=x^3+x^2+x-6

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Solution for X[x(x+1)+2]+3=x^3+x^2+x-6 equation: 


Simplifying
X[x(x + 1) + 2] + 3 = x3 + x2 + x + -6

Reorder the terms:
X[x(1 + x) + 2] + 3 = x3 + x2 + x + -6
X[(1 * x + x * x) + 2] + 3 = x3 + x2 + x + -6
X[(1x + x2) + 2] + 3 = x3 + x2 + x + -6

Reorder the terms:
X[2 + 1x + x2] + 3 = x3 + x2 + x + -6
[2 * X + 1x * X + x2 * X] + 3 = x3 + x2 + x + -6
[2X + 1xX + x2X] + 3 = x3 + x2 + x + -6

Reorder the terms:
3 + 2X + 1xX + x2X = x3 + x2 + x + -6

Reorder the terms:
3 + 2X + 1xX + x2X = -6 + x + x2 + x3

Solving
3 + 2X + 1xX + x2X = -6 + x + x2 + x3

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 + 2X + 1xX + -3 + x2X = -6 + x + x2 + -3 + x3

Reorder the terms:
3 + -3 + 2X + 1xX + x2X = -6 + x + x2 + -3 + x3

Combine like terms: 3 + -3 = 0
0 + 2X + 1xX + x2X = -6 + x + x2 + -3 + x3
2X + 1xX + x2X = -6 + x + x2 + -3 + x3

Reorder the terms:
2X + 1xX + x2X = -6 + -3 + x + x2 + x3

Combine like terms: -6 + -3 = -9
2X + 1xX + x2X = -9 + x + x2 + x3

Reorder the terms:
9 + 2X + -1x + 1xX + -1x2 + x2X + -1x3 = -9 + x + x2 + x3 + 9 + -1x + -1x2 + -1x3

Reorder the terms:
9 + 2X + -1x + 1xX + -1x2 + x2X + -1x3 = -9 + 9 + x + -1x + x2 + -1x2 + x3 + -1x3

Combine like terms: -9 + 9 = 0
9 + 2X + -1x + 1xX + -1x2 + x2X + -1x3 = 0 + x + -1x + x2 + -1x2 + x3 + -1x3
9 + 2X + -1x + 1xX + -1x2 + x2X + -1x3 = x + -1x + x2 + -1x2 + x3 + -1x3

Combine like terms: x + -1x = 0
9 + 2X + -1x + 1xX + -1x2 + x2X + -1x3 = 0 + x2 + -1x2 + x3 + -1x3
9 + 2X + -1x + 1xX + -1x2 + x2X + -1x3 = x2 + -1x2 + x3 + -1x3

Combine like terms: x2 + -1x2 = 0
9 + 2X + -1x + 1xX + -1x2 + x2X + -1x3 = 0 + x3 + -1x3
9 + 2X + -1x + 1xX + -1x2 + x2X + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
9 + 2X + -1x + 1xX + -1x2 + x2X + -1x3 = 0

The solution to this equation could not be determined.

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