(2y-6)*(-3y^2+7y+3)=x

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Solution for (2y-6)*(-3y^2+7y+3)=x equation: 


Simplifying
(2y + -6)(-3y2 + 7y + 3) = x

Reorder the terms:
(-6 + 2y)(-3y2 + 7y + 3) = x

Reorder the terms:
(-6 + 2y)(3 + 7y + -3y2) = x

Multiply (-6 + 2y) * (3 + 7y + -3y2)
(-6(3 + 7y + -3y2) + 2y * (3 + 7y + -3y2)) = x
((3 * -6 + 7y * -6 + -3y2 * -6) + 2y * (3 + 7y + -3y2)) = x
((-18 + -42y + 18y2) + 2y * (3 + 7y + -3y2)) = x
(-18 + -42y + 18y2 + (3 * 2y + 7y * 2y + -3y2 * 2y)) = x
(-18 + -42y + 18y2 + (6y + 14y2 + -6y3)) = x

Reorder the terms:
(-18 + -42y + 6y + 18y2 + 14y2 + -6y3) = x

Combine like terms: -42y + 6y = -36y
(-18 + -36y + 18y2 + 14y2 + -6y3) = x

Combine like terms: 18y2 + 14y2 = 32y2
(-18 + -36y + 32y2 + -6y3) = x

Solving
-18 + -36y + 32y2 + -6y3 = x

Solving for variable 'y'.

Reorder the terms:
-18 + -1x + -36y + 32y2 + -6y3 = x + -1x

Combine like terms: x + -1x = 0
-18 + -1x + -36y + 32y2 + -6y3 = 0

The solution to this equation could not be determined.

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