(5y+3)(y+6u-2)=0

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Solution for (5y+3)(y+6u-2)=0 equation:


Simplifying
(5y + 3)(y + 6u + -2) = 0

Reorder the terms:
(3 + 5y)(y + 6u + -2) = 0

Reorder the terms:
(3 + 5y)(-2 + 6u + y) = 0

Multiply (3 + 5y) * (-2 + 6u + y)
(3(-2 + 6u + y) + 5y * (-2 + 6u + y)) = 0
((-2 * 3 + 6u * 3 + y * 3) + 5y * (-2 + 6u + y)) = 0
((-6 + 18u + 3y) + 5y * (-2 + 6u + y)) = 0
(-6 + 18u + 3y + (-2 * 5y + 6u * 5y + y * 5y)) = 0

Reorder the terms:
(-6 + 18u + 3y + (30uy + -10y + 5y2)) = 0
(-6 + 18u + 3y + (30uy + -10y + 5y2)) = 0

Reorder the terms:
(-6 + 18u + 30uy + 3y + -10y + 5y2) = 0

Combine like terms: 3y + -10y = -7y
(-6 + 18u + 30uy + -7y + 5y2) = 0

Solving
-6 + 18u + 30uy + -7y + 5y2 = 0

Solving for variable 'u'.

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

Add '6' to each side of the equation.
-6 + 18u + 30uy + -7y + 6 + 5y2 = 0 + 6

Reorder the terms:
-6 + 6 + 18u + 30uy + -7y + 5y2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 18u + 30uy + -7y + 5y2 = 0 + 6
18u + 30uy + -7y + 5y2 = 0 + 6

Combine like terms: 0 + 6 = 6
18u + 30uy + -7y + 5y2 = 6

Add '7y' to each side of the equation.
18u + 30uy + -7y + 7y + 5y2 = 6 + 7y

Combine like terms: -7y + 7y = 0
18u + 30uy + 0 + 5y2 = 6 + 7y
18u + 30uy + 5y2 = 6 + 7y

Add '-5y2' to each side of the equation.
18u + 30uy + 5y2 + -5y2 = 6 + 7y + -5y2

Combine like terms: 5y2 + -5y2 = 0
18u + 30uy + 0 = 6 + 7y + -5y2
18u + 30uy = 6 + 7y + -5y2

Reorder the terms:
-6 + 18u + 30uy + -7y + 5y2 = 6 + 7y + -5y2 + -6 + -7y + 5y2

Reorder the terms:
-6 + 18u + 30uy + -7y + 5y2 = 6 + -6 + 7y + -7y + -5y2 + 5y2

Combine like terms: 6 + -6 = 0
-6 + 18u + 30uy + -7y + 5y2 = 0 + 7y + -7y + -5y2 + 5y2
-6 + 18u + 30uy + -7y + 5y2 = 7y + -7y + -5y2 + 5y2

Combine like terms: 7y + -7y = 0
-6 + 18u + 30uy + -7y + 5y2 = 0 + -5y2 + 5y2
-6 + 18u + 30uy + -7y + 5y2 = -5y2 + 5y2

Combine like terms: -5y2 + 5y2 = 0
-6 + 18u + 30uy + -7y + 5y2 = 0

The solution to this equation could not be determined.

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