(3y+2)(3y-5u-2)=0

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Solution for (3y+2)(3y-5u-2)=0 equation: 


Simplifying
(3y + 2)(3y + -5u + -2) = 0

Reorder the terms:
(2 + 3y)(3y + -5u + -2) = 0

Reorder the terms:
(2 + 3y)(-2 + -5u + 3y) = 0

Multiply (2 + 3y) * (-2 + -5u + 3y)
(2(-2 + -5u + 3y) + 3y * (-2 + -5u + 3y)) = 0
((-2 * 2 + -5u * 2 + 3y * 2) + 3y * (-2 + -5u + 3y)) = 0
((-4 + -10u + 6y) + 3y * (-2 + -5u + 3y)) = 0
(-4 + -10u + 6y + (-2 * 3y + -5u * 3y + 3y * 3y)) = 0

Reorder the terms:
(-4 + -10u + 6y + (-15uy + -6y + 9y2)) = 0
(-4 + -10u + 6y + (-15uy + -6y + 9y2)) = 0

Reorder the terms:
(-4 + -10u + -15uy + 6y + -6y + 9y2) = 0

Combine like terms: 6y + -6y = 0
(-4 + -10u + -15uy + 0 + 9y2) = 0
(-4 + -10u + -15uy + 9y2) = 0

Solving
-4 + -10u + -15uy + 9y2 = 0

Solving for variable 'u'.

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

Add '4' to each side of the equation.
-4 + -10u + -15uy + 4 + 9y2 = 0 + 4

Reorder the terms:
-4 + 4 + -10u + -15uy + 9y2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -10u + -15uy + 9y2 = 0 + 4
-10u + -15uy + 9y2 = 0 + 4

Combine like terms: 0 + 4 = 4
-10u + -15uy + 9y2 = 4

Add '-9y2' to each side of the equation.
-10u + -15uy + 9y2 + -9y2 = 4 + -9y2

Combine like terms: 9y2 + -9y2 = 0
-10u + -15uy + 0 = 4 + -9y2
-10u + -15uy = 4 + -9y2

Reorder the terms:
-4 + -10u + -15uy + 9y2 = 4 + -9y2 + -4 + 9y2

Reorder the terms:
-4 + -10u + -15uy + 9y2 = 4 + -4 + -9y2 + 9y2

Combine like terms: 4 + -4 = 0
-4 + -10u + -15uy + 9y2 = 0 + -9y2 + 9y2
-4 + -10u + -15uy + 9y2 = -9y2 + 9y2

Combine like terms: -9y2 + 9y2 = 0
-4 + -10u + -15uy + 9y2 = 0

The solution to this equation could not be determined.

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