(x-2)(1-x^2)-(x-1)(x^2-4)=0

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Solution for (x-2)(1-x^2)-(x-1)(x^2-4)=0 equation:


Simplifying
(x + -2)(1 + -1x2) + -1(x + -1)(x2 + -4) = 0

Reorder the terms:
(-2 + x)(1 + -1x2) + -1(x + -1)(x2 + -4) = 0

Multiply (-2 + x) * (1 + -1x2)
(-2(1 + -1x2) + x(1 + -1x2)) + -1(x + -1)(x2 + -4) = 0
((1 * -2 + -1x2 * -2) + x(1 + -1x2)) + -1(x + -1)(x2 + -4) = 0
((-2 + 2x2) + x(1 + -1x2)) + -1(x + -1)(x2 + -4) = 0
(-2 + 2x2 + (1 * x + -1x2 * x)) + -1(x + -1)(x2 + -4) = 0
(-2 + 2x2 + (1x + -1x3)) + -1(x + -1)(x2 + -4) = 0

Reorder the terms:
(-2 + 1x + 2x2 + -1x3) + -1(x + -1)(x2 + -4) = 0
(-2 + 1x + 2x2 + -1x3) + -1(x + -1)(x2 + -4) = 0

Reorder the terms:
-2 + 1x + 2x2 + -1x3 + -1(-1 + x)(x2 + -4) = 0

Reorder the terms:
-2 + 1x + 2x2 + -1x3 + -1(-1 + x)(-4 + x2) = 0

Multiply (-1 + x) * (-4 + x2)
-2 + 1x + 2x2 + -1x3 + -1(-1(-4 + x2) + x(-4 + x2)) = 0
-2 + 1x + 2x2 + -1x3 + -1((-4 * -1 + x2 * -1) + x(-4 + x2)) = 0
-2 + 1x + 2x2 + -1x3 + -1((4 + -1x2) + x(-4 + x2)) = 0
-2 + 1x + 2x2 + -1x3 + -1(4 + -1x2 + (-4 * x + x2 * x)) = 0
-2 + 1x + 2x2 + -1x3 + -1(4 + -1x2 + (-4x + x3)) = 0

Reorder the terms:
-2 + 1x + 2x2 + -1x3 + -1(4 + -4x + -1x2 + x3) = 0
-2 + 1x + 2x2 + -1x3 + -1(4 + -4x + -1x2 + x3) = 0
-2 + 1x + 2x2 + -1x3 + (4 * -1 + -4x * -1 + -1x2 * -1 + x3 * -1) = 0
-2 + 1x + 2x2 + -1x3 + (-4 + 4x + 1x2 + -1x3) = 0

Reorder the terms:
-2 + -4 + 1x + 4x + 2x2 + 1x2 + -1x3 + -1x3 = 0

Combine like terms: -2 + -4 = -6
-6 + 1x + 4x + 2x2 + 1x2 + -1x3 + -1x3 = 0

Combine like terms: 1x + 4x = 5x
-6 + 5x + 2x2 + 1x2 + -1x3 + -1x3 = 0

Combine like terms: 2x2 + 1x2 = 3x2
-6 + 5x + 3x2 + -1x3 + -1x3 = 0

Combine like terms: -1x3 + -1x3 = -2x3
-6 + 5x + 3x2 + -2x3 = 0

Solving
-6 + 5x + 3x2 + -2x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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