(x-2)(x^2+2x+1)=4(x+1)

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Solution for (x-2)(x^2+2x+1)=4(x+1) equation:


Simplifying
(x + -2)(x2 + 2x + 1) = 4(x + 1)

Reorder the terms:
(-2 + x)(x2 + 2x + 1) = 4(x + 1)

Reorder the terms:
(-2 + x)(1 + 2x + x2) = 4(x + 1)

Multiply (-2 + x) * (1 + 2x + x2)
(-2(1 + 2x + x2) + x(1 + 2x + x2)) = 4(x + 1)
((1 * -2 + 2x * -2 + x2 * -2) + x(1 + 2x + x2)) = 4(x + 1)
((-2 + -4x + -2x2) + x(1 + 2x + x2)) = 4(x + 1)
(-2 + -4x + -2x2 + (1 * x + 2x * x + x2 * x)) = 4(x + 1)
(-2 + -4x + -2x2 + (1x + 2x2 + x3)) = 4(x + 1)

Reorder the terms:
(-2 + -4x + 1x + -2x2 + 2x2 + x3) = 4(x + 1)

Combine like terms: -4x + 1x = -3x
(-2 + -3x + -2x2 + 2x2 + x3) = 4(x + 1)

Combine like terms: -2x2 + 2x2 = 0
(-2 + -3x + 0 + x3) = 4(x + 1)
(-2 + -3x + x3) = 4(x + 1)

Reorder the terms:
-2 + -3x + x3 = 4(1 + x)
-2 + -3x + x3 = (1 * 4 + x * 4)
-2 + -3x + x3 = (4 + 4x)

Solving
-2 + -3x + x3 = 4 + 4x

Solving for variable 'x'.

Reorder the terms:
-2 + -4 + -3x + -4x + x3 = 4 + 4x + -4 + -4x

Combine like terms: -2 + -4 = -6
-6 + -3x + -4x + x3 = 4 + 4x + -4 + -4x

Combine like terms: -3x + -4x = -7x
-6 + -7x + x3 = 4 + 4x + -4 + -4x

Reorder the terms:
-6 + -7x + x3 = 4 + -4 + 4x + -4x

Combine like terms: 4 + -4 = 0
-6 + -7x + x3 = 0 + 4x + -4x
-6 + -7x + x3 = 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + -7x + x3 = 0

The solution to this equation could not be determined.

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