(3y+3u-2)(2y+7)=x

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Solution for (3y+3u-2)(2y+7)=x equation: 


Simplifying
(3y + 3u + -2)(2y + 7) = x

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

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

Multiply (-2 + 3u + 3y) * (7 + 2y)
(-2(7 + 2y) + 3u * (7 + 2y) + 3y * (7 + 2y)) = x
((7 * -2 + 2y * -2) + 3u * (7 + 2y) + 3y * (7 + 2y)) = x
((-14 + -4y) + 3u * (7 + 2y) + 3y * (7 + 2y)) = x
(-14 + -4y + (7 * 3u + 2y * 3u) + 3y * (7 + 2y)) = x
(-14 + -4y + (21u + 6uy) + 3y * (7 + 2y)) = x
(-14 + -4y + 21u + 6uy + (7 * 3y + 2y * 3y)) = x
(-14 + -4y + 21u + 6uy + (21y + 6y2)) = x

Reorder the terms:
(-14 + 21u + 6uy + -4y + 21y + 6y2) = x

Combine like terms: -4y + 21y = 17y
(-14 + 21u + 6uy + 17y + 6y2) = x

Solving
-14 + 21u + 6uy + 17y + 6y2 = x

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '14' to each side of the equation.
-14 + 21u + 6uy + 17y + 14 + 6y2 = 14 + x

Reorder the terms:
-14 + 14 + 21u + 6uy + 17y + 6y2 = 14 + x

Combine like terms: -14 + 14 = 0
0 + 21u + 6uy + 17y + 6y2 = 14 + x
21u + 6uy + 17y + 6y2 = 14 + x

Add '-17y' to each side of the equation.
21u + 6uy + 17y + -17y + 6y2 = 14 + x + -17y

Combine like terms: 17y + -17y = 0
21u + 6uy + 0 + 6y2 = 14 + x + -17y
21u + 6uy + 6y2 = 14 + x + -17y

Add '-6y2' to each side of the equation.
21u + 6uy + 6y2 + -6y2 = 14 + x + -17y + -6y2

Combine like terms: 6y2 + -6y2 = 0
21u + 6uy + 0 = 14 + x + -17y + -6y2
21u + 6uy = 14 + x + -17y + -6y2

Reorder the terms:
-14 + 21u + 6uy + -1x + 17y + 6y2 = 14 + x + -17y + -6y2 + -14 + -1x + 17y + 6y2

Reorder the terms:
-14 + 21u + 6uy + -1x + 17y + 6y2 = 14 + -14 + x + -1x + -17y + 17y + -6y2 + 6y2

Combine like terms: 14 + -14 = 0
-14 + 21u + 6uy + -1x + 17y + 6y2 = 0 + x + -1x + -17y + 17y + -6y2 + 6y2
-14 + 21u + 6uy + -1x + 17y + 6y2 = x + -1x + -17y + 17y + -6y2 + 6y2

Combine like terms: x + -1x = 0
-14 + 21u + 6uy + -1x + 17y + 6y2 = 0 + -17y + 17y + -6y2 + 6y2
-14 + 21u + 6uy + -1x + 17y + 6y2 = -17y + 17y + -6y2 + 6y2

Combine like terms: -17y + 17y = 0
-14 + 21u + 6uy + -1x + 17y + 6y2 = 0 + -6y2 + 6y2
-14 + 21u + 6uy + -1x + 17y + 6y2 = -6y2 + 6y2

Combine like terms: -6y2 + 6y2 = 0
-14 + 21u + 6uy + -1x + 17y + 6y2 = 0

The solution to this equation could not be determined.

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