(3x-4)(x^2-6x+5)=x

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Solution for (3x-4)(x^2-6x+5)=x equation: 


Simplifying
(3x + -4)(x2 + -6x + 5) = x

Reorder the terms:
(-4 + 3x)(x2 + -6x + 5) = x

Reorder the terms:
(-4 + 3x)(5 + -6x + x2) = x

Multiply (-4 + 3x) * (5 + -6x + x2)
(-4(5 + -6x + x2) + 3x * (5 + -6x + x2)) = x
((5 * -4 + -6x * -4 + x2 * -4) + 3x * (5 + -6x + x2)) = x
((-20 + 24x + -4x2) + 3x * (5 + -6x + x2)) = x
(-20 + 24x + -4x2 + (5 * 3x + -6x * 3x + x2 * 3x)) = x
(-20 + 24x + -4x2 + (15x + -18x2 + 3x3)) = x

Reorder the terms:
(-20 + 24x + 15x + -4x2 + -18x2 + 3x3) = x

Combine like terms: 24x + 15x = 39x
(-20 + 39x + -4x2 + -18x2 + 3x3) = x

Combine like terms: -4x2 + -18x2 = -22x2
(-20 + 39x + -22x2 + 3x3) = x

Solving
-20 + 39x + -22x2 + 3x3 = x

Solving for variable 'x'.

Reorder the terms:
-20 + 39x + -1x + -22x2 + 3x3 = x + -1x

Combine like terms: 39x + -1x = 38x
-20 + 38x + -22x2 + 3x3 = x + -1x

Combine like terms: x + -1x = 0
-20 + 38x + -22x2 + 3x3 = 0

The solution to this equation could not be determined.

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