(x-1)(x^2-3x-3)=x-1

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


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

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

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

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

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

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

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

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

Solving
3 + -4x2 + x3 = -1 + x

Solving for variable 'x'.

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

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

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

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

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

The solution to this equation could not be determined.

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