(x^2+1)*(x+1)=(3x-4)*(2+2x)

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Solution for (x^2+1)*(x+1)=(3x-4)*(2+2x) equation: 


Simplifying
(x2 + 1)(x + 1) = (3x + -4)(2 + 2x)

Reorder the terms:
(1 + x2)(x + 1) = (3x + -4)(2 + 2x)

Reorder the terms:
(1 + x2)(1 + x) = (3x + -4)(2 + 2x)

Multiply (1 + x2) * (1 + x)
(1(1 + x) + x2(1 + x)) = (3x + -4)(2 + 2x)
((1 * 1 + x * 1) + x2(1 + x)) = (3x + -4)(2 + 2x)
((1 + 1x) + x2(1 + x)) = (3x + -4)(2 + 2x)
(1 + 1x + (1 * x2 + x * x2)) = (3x + -4)(2 + 2x)
(1 + 1x + (1x2 + x3)) = (3x + -4)(2 + 2x)
(1 + 1x + 1x2 + x3) = (3x + -4)(2 + 2x)

Reorder the terms:
1 + 1x + 1x2 + x3 = (-4 + 3x)(2 + 2x)

Multiply (-4 + 3x) * (2 + 2x)
1 + 1x + 1x2 + x3 = (-4(2 + 2x) + 3x * (2 + 2x))
1 + 1x + 1x2 + x3 = ((2 * -4 + 2x * -4) + 3x * (2 + 2x))
1 + 1x + 1x2 + x3 = ((-8 + -8x) + 3x * (2 + 2x))
1 + 1x + 1x2 + x3 = (-8 + -8x + (2 * 3x + 2x * 3x))
1 + 1x + 1x2 + x3 = (-8 + -8x + (6x + 6x2))

Combine like terms: -8x + 6x = -2x
1 + 1x + 1x2 + x3 = (-8 + -2x + 6x2)

Solving
1 + 1x + 1x2 + x3 = -8 + -2x + 6x2

Solving for variable 'x'.

Reorder the terms:
1 + 8 + 1x + 2x + 1x2 + -6x2 + x3 = -8 + -2x + 6x2 + 8 + 2x + -6x2

Combine like terms: 1 + 8 = 9
9 + 1x + 2x + 1x2 + -6x2 + x3 = -8 + -2x + 6x2 + 8 + 2x + -6x2

Combine like terms: 1x + 2x = 3x
9 + 3x + 1x2 + -6x2 + x3 = -8 + -2x + 6x2 + 8 + 2x + -6x2

Combine like terms: 1x2 + -6x2 = -5x2
9 + 3x + -5x2 + x3 = -8 + -2x + 6x2 + 8 + 2x + -6x2

Reorder the terms:
9 + 3x + -5x2 + x3 = -8 + 8 + -2x + 2x + 6x2 + -6x2

Combine like terms: -8 + 8 = 0
9 + 3x + -5x2 + x3 = 0 + -2x + 2x + 6x2 + -6x2
9 + 3x + -5x2 + x3 = -2x + 2x + 6x2 + -6x2

Combine like terms: -2x + 2x = 0
9 + 3x + -5x2 + x3 = 0 + 6x2 + -6x2
9 + 3x + -5x2 + x3 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
9 + 3x + -5x2 + x3 = 0

The solution to this equation could not be determined.

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