(X+2)*(x^2-2x+4)+(x+6)=0

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Solution for (X+2)*(x^2-2x+4)+(x+6)=0 equation:


Simplifying
(X + 2)(x2 + -2x + 4) + (x + 6) = 0

Reorder the terms:
(2 + X)(x2 + -2x + 4) + (x + 6) = 0

Reorder the terms:
(2 + X)(4 + -2x + x2) + (x + 6) = 0

Multiply (2 + X) * (4 + -2x + x2)
(2(4 + -2x + x2) + X(4 + -2x + x2)) + (x + 6) = 0
((4 * 2 + -2x * 2 + x2 * 2) + X(4 + -2x + x2)) + (x + 6) = 0
((8 + -4x + 2x2) + X(4 + -2x + x2)) + (x + 6) = 0
(8 + -4x + 2x2 + (4 * X + -2x * X + x2 * X)) + (x + 6) = 0
(8 + -4x + 2x2 + (4X + -2xX + x2X)) + (x + 6) = 0

Reorder the terms:
(8 + 4X + -4x + -2xX + 2x2 + x2X) + (x + 6) = 0
(8 + 4X + -4x + -2xX + 2x2 + x2X) + (x + 6) = 0

Reorder the terms:
8 + 4X + -4x + -2xX + 2x2 + x2X + (6 + x) = 0

Remove parenthesis around (6 + x)
8 + 4X + -4x + -2xX + 2x2 + x2X + 6 + x = 0

Reorder the terms:
8 + 6 + 4X + -4x + x + -2xX + 2x2 + x2X = 0

Combine like terms: 8 + 6 = 14
14 + 4X + -4x + x + -2xX + 2x2 + x2X = 0

Combine like terms: -4x + x = -3x
14 + 4X + -3x + -2xX + 2x2 + x2X = 0

Solving
14 + 4X + -3x + -2xX + 2x2 + x2X = 0

Solving for variable 'X'.

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

Add '-14' to each side of the equation.
14 + 4X + -3x + -2xX + 2x2 + -14 + x2X = 0 + -14

Reorder the terms:
14 + -14 + 4X + -3x + -2xX + 2x2 + x2X = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 4X + -3x + -2xX + 2x2 + x2X = 0 + -14
4X + -3x + -2xX + 2x2 + x2X = 0 + -14

Combine like terms: 0 + -14 = -14
4X + -3x + -2xX + 2x2 + x2X = -14

Add '3x' to each side of the equation.
4X + -3x + -2xX + 2x2 + 3x + x2X = -14 + 3x

Reorder the terms:
4X + -3x + 3x + -2xX + 2x2 + x2X = -14 + 3x

Combine like terms: -3x + 3x = 0
4X + 0 + -2xX + 2x2 + x2X = -14 + 3x
4X + -2xX + 2x2 + x2X = -14 + 3x

Add '-2x2' to each side of the equation.
4X + -2xX + 2x2 + -2x2 + x2X = -14 + 3x + -2x2

Combine like terms: 2x2 + -2x2 = 0
4X + -2xX + 0 + x2X = -14 + 3x + -2x2
4X + -2xX + x2X = -14 + 3x + -2x2

Reorder the terms:
14 + 4X + -3x + -2xX + 2x2 + x2X = -14 + 3x + -2x2 + 14 + -3x + 2x2

Reorder the terms:
14 + 4X + -3x + -2xX + 2x2 + x2X = -14 + 14 + 3x + -3x + -2x2 + 2x2

Combine like terms: -14 + 14 = 0
14 + 4X + -3x + -2xX + 2x2 + x2X = 0 + 3x + -3x + -2x2 + 2x2
14 + 4X + -3x + -2xX + 2x2 + x2X = 3x + -3x + -2x2 + 2x2

Combine like terms: 3x + -3x = 0
14 + 4X + -3x + -2xX + 2x2 + x2X = 0 + -2x2 + 2x2
14 + 4X + -3x + -2xX + 2x2 + x2X = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
14 + 4X + -3x + -2xX + 2x2 + x2X = 0

The solution to this equation could not be determined.

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