(3-x)*(x^2-8x+13)-(5-x)=0

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Solution for (3-x)*(x^2-8x+13)-(5-x)=0 equation:


Simplifying
(3 + -1x)(x2 + -8x + 13) + -1(5 + -1x) = 0

Reorder the terms:
(3 + -1x)(13 + -8x + x2) + -1(5 + -1x) = 0

Multiply (3 + -1x) * (13 + -8x + x2)
(3(13 + -8x + x2) + -1x * (13 + -8x + x2)) + -1(5 + -1x) = 0
((13 * 3 + -8x * 3 + x2 * 3) + -1x * (13 + -8x + x2)) + -1(5 + -1x) = 0
((39 + -24x + 3x2) + -1x * (13 + -8x + x2)) + -1(5 + -1x) = 0
(39 + -24x + 3x2 + (13 * -1x + -8x * -1x + x2 * -1x)) + -1(5 + -1x) = 0
(39 + -24x + 3x2 + (-13x + 8x2 + -1x3)) + -1(5 + -1x) = 0

Reorder the terms:
(39 + -24x + -13x + 3x2 + 8x2 + -1x3) + -1(5 + -1x) = 0

Combine like terms: -24x + -13x = -37x
(39 + -37x + 3x2 + 8x2 + -1x3) + -1(5 + -1x) = 0

Combine like terms: 3x2 + 8x2 = 11x2
(39 + -37x + 11x2 + -1x3) + -1(5 + -1x) = 0
39 + -37x + 11x2 + -1x3 + (5 * -1 + -1x * -1) = 0
39 + -37x + 11x2 + -1x3 + (-5 + 1x) = 0

Reorder the terms:
39 + -5 + -37x + 1x + 11x2 + -1x3 = 0

Combine like terms: 39 + -5 = 34
34 + -37x + 1x + 11x2 + -1x3 = 0

Combine like terms: -37x + 1x = -36x
34 + -36x + 11x2 + -1x3 = 0

Solving
34 + -36x + 11x2 + -1x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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