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

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


Simplifying
(3y + -3)(-6y2 + 5y + 3) = x

Reorder the terms:
(-3 + 3y)(-6y2 + 5y + 3) = x

Reorder the terms:
(-3 + 3y)(3 + 5y + -6y2) = x

Multiply (-3 + 3y) * (3 + 5y + -6y2)
(-3(3 + 5y + -6y2) + 3y * (3 + 5y + -6y2)) = x
((3 * -3 + 5y * -3 + -6y2 * -3) + 3y * (3 + 5y + -6y2)) = x
((-9 + -15y + 18y2) + 3y * (3 + 5y + -6y2)) = x
(-9 + -15y + 18y2 + (3 * 3y + 5y * 3y + -6y2 * 3y)) = x
(-9 + -15y + 18y2 + (9y + 15y2 + -18y3)) = x

Reorder the terms:
(-9 + -15y + 9y + 18y2 + 15y2 + -18y3) = x

Combine like terms: -15y + 9y = -6y
(-9 + -6y + 18y2 + 15y2 + -18y3) = x

Combine like terms: 18y2 + 15y2 = 33y2
(-9 + -6y + 33y2 + -18y3) = x

Solving
-9 + -6y + 33y2 + -18y3 = x

Solving for variable 'y'.

Reorder the terms:
-9 + -1x + -6y + 33y2 + -18y3 = x + -1x

Combine like terms: x + -1x = 0
-9 + -1x + -6y + 33y2 + -18y3 = 0

The solution to this equation could not be determined.

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