(X^3+4x^2+5x+2)*(x+2)=

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Solution for (X^3+4x^2+5x+2)*(x+2)= equation:


Simplifying
(X3 + 4x2 + 5x + 2)(x + 2) = 0

Reorder the terms:
(2 + X3 + 5x + 4x2)(x + 2) = 0

Reorder the terms:
(2 + X3 + 5x + 4x2)(2 + x) = 0

Multiply (2 + X3 + 5x + 4x2) * (2 + x)
(2(2 + x) + X3(2 + x) + 5x * (2 + x) + 4x2 * (2 + x)) = 0
((2 * 2 + x * 2) + X3(2 + x) + 5x * (2 + x) + 4x2 * (2 + x)) = 0
((4 + 2x) + X3(2 + x) + 5x * (2 + x) + 4x2 * (2 + x)) = 0
(4 + 2x + (2 * X3 + x * X3) + 5x * (2 + x) + 4x2 * (2 + x)) = 0
(4 + 2x + (2X3 + xX3) + 5x * (2 + x) + 4x2 * (2 + x)) = 0
(4 + 2x + 2X3 + xX3 + (2 * 5x + x * 5x) + 4x2 * (2 + x)) = 0
(4 + 2x + 2X3 + xX3 + (10x + 5x2) + 4x2 * (2 + x)) = 0
(4 + 2x + 2X3 + xX3 + 10x + 5x2 + (2 * 4x2 + x * 4x2)) = 0
(4 + 2x + 2X3 + xX3 + 10x + 5x2 + (8x2 + 4x3)) = 0

Reorder the terms:
(4 + 2X3 + 2x + 10x + xX3 + 5x2 + 8x2 + 4x3) = 0

Combine like terms: 2x + 10x = 12x
(4 + 2X3 + 12x + xX3 + 5x2 + 8x2 + 4x3) = 0

Combine like terms: 5x2 + 8x2 = 13x2
(4 + 2X3 + 12x + xX3 + 13x2 + 4x3) = 0

Solving
4 + 2X3 + 12x + xX3 + 13x2 + 4x3 = 0

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + 2X3 + 12x + xX3 + 13x2 + -4 + 4x3 = 0 + -4

Reorder the terms:
4 + -4 + 2X3 + 12x + xX3 + 13x2 + 4x3 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 2X3 + 12x + xX3 + 13x2 + 4x3 = 0 + -4
2X3 + 12x + xX3 + 13x2 + 4x3 = 0 + -4

Combine like terms: 0 + -4 = -4
2X3 + 12x + xX3 + 13x2 + 4x3 = -4

Add '-12x' to each side of the equation.
2X3 + 12x + xX3 + 13x2 + -12x + 4x3 = -4 + -12x

Reorder the terms:
2X3 + 12x + -12x + xX3 + 13x2 + 4x3 = -4 + -12x

Combine like terms: 12x + -12x = 0
2X3 + 0 + xX3 + 13x2 + 4x3 = -4 + -12x
2X3 + xX3 + 13x2 + 4x3 = -4 + -12x

Add '-13x2' to each side of the equation.
2X3 + xX3 + 13x2 + -13x2 + 4x3 = -4 + -12x + -13x2

Combine like terms: 13x2 + -13x2 = 0
2X3 + xX3 + 0 + 4x3 = -4 + -12x + -13x2
2X3 + xX3 + 4x3 = -4 + -12x + -13x2

Add '-4x3' to each side of the equation.
2X3 + xX3 + 4x3 + -4x3 = -4 + -12x + -13x2 + -4x3

Combine like terms: 4x3 + -4x3 = 0
2X3 + xX3 + 0 = -4 + -12x + -13x2 + -4x3
2X3 + xX3 = -4 + -12x + -13x2 + -4x3

Reorder the terms:
4 + 2X3 + 12x + xX3 + 13x2 + 4x3 = -4 + -12x + -13x2 + -4x3 + 4 + 12x + 13x2 + 4x3

Reorder the terms:
4 + 2X3 + 12x + xX3 + 13x2 + 4x3 = -4 + 4 + -12x + 12x + -13x2 + 13x2 + -4x3 + 4x3

Combine like terms: -4 + 4 = 0
4 + 2X3 + 12x + xX3 + 13x2 + 4x3 = 0 + -12x + 12x + -13x2 + 13x2 + -4x3 + 4x3
4 + 2X3 + 12x + xX3 + 13x2 + 4x3 = -12x + 12x + -13x2 + 13x2 + -4x3 + 4x3

Combine like terms: -12x + 12x = 0
4 + 2X3 + 12x + xX3 + 13x2 + 4x3 = 0 + -13x2 + 13x2 + -4x3 + 4x3
4 + 2X3 + 12x + xX3 + 13x2 + 4x3 = -13x2 + 13x2 + -4x3 + 4x3

Combine like terms: -13x2 + 13x2 = 0
4 + 2X3 + 12x + xX3 + 13x2 + 4x3 = 0 + -4x3 + 4x3
4 + 2X3 + 12x + xX3 + 13x2 + 4x3 = -4x3 + 4x3

Combine like terms: -4x3 + 4x3 = 0
4 + 2X3 + 12x + xX3 + 13x2 + 4x3 = 0

The solution to this equation could not be determined.

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