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

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


Simplifying
(X2 + 2x + 1)(x + 1) = 0

Reorder the terms:
(1 + X2 + 2x)(x + 1) = 0

Reorder the terms:
(1 + X2 + 2x)(1 + x) = 0

Multiply (1 + X2 + 2x) * (1 + x)
(1(1 + x) + X2(1 + x) + 2x * (1 + x)) = 0
((1 * 1 + x * 1) + X2(1 + x) + 2x * (1 + x)) = 0
((1 + 1x) + X2(1 + x) + 2x * (1 + x)) = 0
(1 + 1x + (1 * X2 + x * X2) + 2x * (1 + x)) = 0
(1 + 1x + (1X2 + xX2) + 2x * (1 + x)) = 0
(1 + 1x + 1X2 + xX2 + (1 * 2x + x * 2x)) = 0
(1 + 1x + 1X2 + xX2 + (2x + 2x2)) = 0

Reorder the terms:
(1 + 1X2 + 1x + 2x + xX2 + 2x2) = 0

Combine like terms: 1x + 2x = 3x
(1 + 1X2 + 3x + xX2 + 2x2) = 0

Solving
1 + 1X2 + 3x + xX2 + 2x2 = 0

Solving for variable 'X'.

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

Add '-1' to each side of the equation.
1 + 1X2 + 3x + xX2 + -1 + 2x2 = 0 + -1

Reorder the terms:
1 + -1 + 1X2 + 3x + xX2 + 2x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 1X2 + 3x + xX2 + 2x2 = 0 + -1
1X2 + 3x + xX2 + 2x2 = 0 + -1

Combine like terms: 0 + -1 = -1
1X2 + 3x + xX2 + 2x2 = -1

Add '-3x' to each side of the equation.
1X2 + 3x + xX2 + -3x + 2x2 = -1 + -3x

Reorder the terms:
1X2 + 3x + -3x + xX2 + 2x2 = -1 + -3x

Combine like terms: 3x + -3x = 0
1X2 + 0 + xX2 + 2x2 = -1 + -3x
1X2 + xX2 + 2x2 = -1 + -3x

Add '-2x2' to each side of the equation.
1X2 + xX2 + 2x2 + -2x2 = -1 + -3x + -2x2

Combine like terms: 2x2 + -2x2 = 0
1X2 + xX2 + 0 = -1 + -3x + -2x2
1X2 + xX2 = -1 + -3x + -2x2

Reorder the terms:
1 + 1X2 + 3x + xX2 + 2x2 = -1 + -3x + -2x2 + 1 + 3x + 2x2

Reorder the terms:
1 + 1X2 + 3x + xX2 + 2x2 = -1 + 1 + -3x + 3x + -2x2 + 2x2

Combine like terms: -1 + 1 = 0
1 + 1X2 + 3x + xX2 + 2x2 = 0 + -3x + 3x + -2x2 + 2x2
1 + 1X2 + 3x + xX2 + 2x2 = -3x + 3x + -2x2 + 2x2

Combine like terms: -3x + 3x = 0
1 + 1X2 + 3x + xX2 + 2x2 = 0 + -2x2 + 2x2
1 + 1X2 + 3x + xX2 + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
1 + 1X2 + 3x + xX2 + 2x2 = 0

The solution to this equation could not be determined.

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