(5y-2)(y+u-4)=0

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Solution for (5y-2)(y+u-4)=0 equation: 


Simplifying
(5y + -2)(y + u + -4) = 0

Reorder the terms:
(-2 + 5y)(y + u + -4) = 0

Reorder the terms:
(-2 + 5y)(-4 + u + y) = 0

Multiply (-2 + 5y) * (-4 + u + y)
(-2(-4 + u + y) + 5y * (-4 + u + y)) = 0
((-4 * -2 + u * -2 + y * -2) + 5y * (-4 + u + y)) = 0
((8 + -2u + -2y) + 5y * (-4 + u + y)) = 0
(8 + -2u + -2y + (-4 * 5y + u * 5y + y * 5y)) = 0

Reorder the terms:
(8 + -2u + -2y + (5uy + -20y + 5y2)) = 0
(8 + -2u + -2y + (5uy + -20y + 5y2)) = 0

Reorder the terms:
(8 + -2u + 5uy + -2y + -20y + 5y2) = 0

Combine like terms: -2y + -20y = -22y
(8 + -2u + 5uy + -22y + 5y2) = 0

Solving
8 + -2u + 5uy + -22y + 5y2 = 0

Solving for variable 'u'.

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

Add '-8' to each side of the equation.
8 + -2u + 5uy + -22y + -8 + 5y2 = 0 + -8

Reorder the terms:
8 + -8 + -2u + 5uy + -22y + 5y2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -2u + 5uy + -22y + 5y2 = 0 + -8
-2u + 5uy + -22y + 5y2 = 0 + -8

Combine like terms: 0 + -8 = -8
-2u + 5uy + -22y + 5y2 = -8

Add '22y' to each side of the equation.
-2u + 5uy + -22y + 22y + 5y2 = -8 + 22y

Combine like terms: -22y + 22y = 0
-2u + 5uy + 0 + 5y2 = -8 + 22y
-2u + 5uy + 5y2 = -8 + 22y

Add '-5y2' to each side of the equation.
-2u + 5uy + 5y2 + -5y2 = -8 + 22y + -5y2

Combine like terms: 5y2 + -5y2 = 0
-2u + 5uy + 0 = -8 + 22y + -5y2
-2u + 5uy = -8 + 22y + -5y2

Reorder the terms:
8 + -2u + 5uy + -22y + 5y2 = -8 + 22y + -5y2 + 8 + -22y + 5y2

Reorder the terms:
8 + -2u + 5uy + -22y + 5y2 = -8 + 8 + 22y + -22y + -5y2 + 5y2

Combine like terms: -8 + 8 = 0
8 + -2u + 5uy + -22y + 5y2 = 0 + 22y + -22y + -5y2 + 5y2
8 + -2u + 5uy + -22y + 5y2 = 22y + -22y + -5y2 + 5y2

Combine like terms: 22y + -22y = 0
8 + -2u + 5uy + -22y + 5y2 = 0 + -5y2 + 5y2
8 + -2u + 5uy + -22y + 5y2 = -5y2 + 5y2

Combine like terms: -5y2 + 5y2 = 0
8 + -2u + 5uy + -22y + 5y2 = 0

The solution to this equation could not be determined.

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