(7y-2u-5)(y+2)=0

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Solution for (7y-2u-5)(y+2)=0 equation:


Simplifying
(7y + -2u + -5)(y + 2) = 0

Reorder the terms:
(-5 + -2u + 7y)(y + 2) = 0

Reorder the terms:
(-5 + -2u + 7y)(2 + y) = 0

Multiply (-5 + -2u + 7y) * (2 + y)
(-5(2 + y) + -2u * (2 + y) + 7y * (2 + y)) = 0
((2 * -5 + y * -5) + -2u * (2 + y) + 7y * (2 + y)) = 0
((-10 + -5y) + -2u * (2 + y) + 7y * (2 + y)) = 0
(-10 + -5y + (2 * -2u + y * -2u) + 7y * (2 + y)) = 0
(-10 + -5y + (-4u + -2uy) + 7y * (2 + y)) = 0
(-10 + -5y + -4u + -2uy + (2 * 7y + y * 7y)) = 0
(-10 + -5y + -4u + -2uy + (14y + 7y2)) = 0

Reorder the terms:
(-10 + -4u + -2uy + -5y + 14y + 7y2) = 0

Combine like terms: -5y + 14y = 9y
(-10 + -4u + -2uy + 9y + 7y2) = 0

Solving
-10 + -4u + -2uy + 9y + 7y2 = 0

Solving for variable 'u'.

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

Add '10' to each side of the equation.
-10 + -4u + -2uy + 9y + 10 + 7y2 = 0 + 10

Reorder the terms:
-10 + 10 + -4u + -2uy + 9y + 7y2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -4u + -2uy + 9y + 7y2 = 0 + 10
-4u + -2uy + 9y + 7y2 = 0 + 10

Combine like terms: 0 + 10 = 10
-4u + -2uy + 9y + 7y2 = 10

Add '-9y' to each side of the equation.
-4u + -2uy + 9y + -9y + 7y2 = 10 + -9y

Combine like terms: 9y + -9y = 0
-4u + -2uy + 0 + 7y2 = 10 + -9y
-4u + -2uy + 7y2 = 10 + -9y

Add '-7y2' to each side of the equation.
-4u + -2uy + 7y2 + -7y2 = 10 + -9y + -7y2

Combine like terms: 7y2 + -7y2 = 0
-4u + -2uy + 0 = 10 + -9y + -7y2
-4u + -2uy = 10 + -9y + -7y2

Reorder the terms:
-10 + -4u + -2uy + 9y + 7y2 = 10 + -9y + -7y2 + -10 + 9y + 7y2

Reorder the terms:
-10 + -4u + -2uy + 9y + 7y2 = 10 + -10 + -9y + 9y + -7y2 + 7y2

Combine like terms: 10 + -10 = 0
-10 + -4u + -2uy + 9y + 7y2 = 0 + -9y + 9y + -7y2 + 7y2
-10 + -4u + -2uy + 9y + 7y2 = -9y + 9y + -7y2 + 7y2

Combine like terms: -9y + 9y = 0
-10 + -4u + -2uy + 9y + 7y2 = 0 + -7y2 + 7y2
-10 + -4u + -2uy + 9y + 7y2 = -7y2 + 7y2

Combine like terms: -7y2 + 7y2 = 0
-10 + -4u + -2uy + 9y + 7y2 = 0

The solution to this equation could not be determined.

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