(x-3)(x^2-5x+2)=x

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Solution for (x-3)(x^2-5x+2)=x equation:


Simplifying
(x + -3)(x2 + -5x + 2) = x

Reorder the terms:
(-3 + x)(x2 + -5x + 2) = x

Reorder the terms:
(-3 + x)(2 + -5x + x2) = x

Multiply (-3 + x) * (2 + -5x + x2)
(-3(2 + -5x + x2) + x(2 + -5x + x2)) = x
((2 * -3 + -5x * -3 + x2 * -3) + x(2 + -5x + x2)) = x
((-6 + 15x + -3x2) + x(2 + -5x + x2)) = x
(-6 + 15x + -3x2 + (2 * x + -5x * x + x2 * x)) = x
(-6 + 15x + -3x2 + (2x + -5x2 + x3)) = x

Reorder the terms:
(-6 + 15x + 2x + -3x2 + -5x2 + x3) = x

Combine like terms: 15x + 2x = 17x
(-6 + 17x + -3x2 + -5x2 + x3) = x

Combine like terms: -3x2 + -5x2 = -8x2
(-6 + 17x + -8x2 + x3) = x

Solving
-6 + 17x + -8x2 + x3 = x

Solving for variable 'x'.

Reorder the terms:
-6 + 17x + -1x + -8x2 + x3 = x + -1x

Combine like terms: 17x + -1x = 16x
-6 + 16x + -8x2 + x3 = x + -1x

Combine like terms: x + -1x = 0
-6 + 16x + -8x2 + x3 = 0

The solution to this equation could not be determined.

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