x(3+x)(x-1)=(x+4)(1-x)

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


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

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

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

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

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

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

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

Add '3x' to each side of the equation.
-3x + 2x2 + 3x + x3 = 4 + -3x + 3x + -1x2

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

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

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

Solving
2x2 + x3 = 4 + -1x2

Solving for variable 'x'.

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

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

Reorder the terms:
-4 + 3x2 + x3 = 4 + -4 + -1x2 + x2

Combine like terms: 4 + -4 = 0
-4 + 3x2 + x3 = 0 + -1x2 + x2
-4 + 3x2 + x3 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-4 + 3x2 + x3 = 0

The solution to this equation could not be determined.

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