(8x+9)(x^2-5x+5)=x

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Solution for (8x+9)(x^2-5x+5)=x equation: 


Simplifying
(8x + 9)(x2 + -5x + 5) = x

Reorder the terms:
(9 + 8x)(x2 + -5x + 5) = x

Reorder the terms:
(9 + 8x)(5 + -5x + x2) = x

Multiply (9 + 8x) * (5 + -5x + x2)
(9(5 + -5x + x2) + 8x * (5 + -5x + x2)) = x
((5 * 9 + -5x * 9 + x2 * 9) + 8x * (5 + -5x + x2)) = x
((45 + -45x + 9x2) + 8x * (5 + -5x + x2)) = x
(45 + -45x + 9x2 + (5 * 8x + -5x * 8x + x2 * 8x)) = x
(45 + -45x + 9x2 + (40x + -40x2 + 8x3)) = x

Reorder the terms:
(45 + -45x + 40x + 9x2 + -40x2 + 8x3) = x

Combine like terms: -45x + 40x = -5x
(45 + -5x + 9x2 + -40x2 + 8x3) = x

Combine like terms: 9x2 + -40x2 = -31x2
(45 + -5x + -31x2 + 8x3) = x

Solving
45 + -5x + -31x2 + 8x3 = x

Solving for variable 'x'.

Reorder the terms:
45 + -5x + -1x + -31x2 + 8x3 = x + -1x

Combine like terms: -5x + -1x = -6x
45 + -6x + -31x2 + 8x3 = x + -1x

Combine like terms: x + -1x = 0
45 + -6x + -31x2 + 8x3 = 0

The solution to this equation could not be determined.

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