(5v-6u+6)(v+3)=

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Solution for (5v-6u+6)(v+3)= equation: 


Simplifying
(5v + -6u + 6)(v + 3) = 0

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

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

Multiply (6 + -6u + 5v) * (3 + v)
(6(3 + v) + -6u * (3 + v) + 5v * (3 + v)) = 0
((3 * 6 + v * 6) + -6u * (3 + v) + 5v * (3 + v)) = 0
((18 + 6v) + -6u * (3 + v) + 5v * (3 + v)) = 0
(18 + 6v + (3 * -6u + v * -6u) + 5v * (3 + v)) = 0
(18 + 6v + (-18u + -6uv) + 5v * (3 + v)) = 0
(18 + 6v + -18u + -6uv + (3 * 5v + v * 5v)) = 0
(18 + 6v + -18u + -6uv + (15v + 5v2)) = 0

Reorder the terms:
(18 + -18u + -6uv + 6v + 15v + 5v2) = 0

Combine like terms: 6v + 15v = 21v
(18 + -18u + -6uv + 21v + 5v2) = 0

Solving
18 + -18u + -6uv + 21v + 5v2 = 0

Solving for variable 'u'.

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

Add '-18' to each side of the equation.
18 + -18u + -6uv + 21v + -18 + 5v2 = 0 + -18

Reorder the terms:
18 + -18 + -18u + -6uv + 21v + 5v2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -18u + -6uv + 21v + 5v2 = 0 + -18
-18u + -6uv + 21v + 5v2 = 0 + -18

Combine like terms: 0 + -18 = -18
-18u + -6uv + 21v + 5v2 = -18

Add '-21v' to each side of the equation.
-18u + -6uv + 21v + -21v + 5v2 = -18 + -21v

Combine like terms: 21v + -21v = 0
-18u + -6uv + 0 + 5v2 = -18 + -21v
-18u + -6uv + 5v2 = -18 + -21v

Add '-5v2' to each side of the equation.
-18u + -6uv + 5v2 + -5v2 = -18 + -21v + -5v2

Combine like terms: 5v2 + -5v2 = 0
-18u + -6uv + 0 = -18 + -21v + -5v2
-18u + -6uv = -18 + -21v + -5v2

Reorder the terms:
18 + -18u + -6uv + 21v + 5v2 = -18 + -21v + -5v2 + 18 + 21v + 5v2

Reorder the terms:
18 + -18u + -6uv + 21v + 5v2 = -18 + 18 + -21v + 21v + -5v2 + 5v2

Combine like terms: -18 + 18 = 0
18 + -18u + -6uv + 21v + 5v2 = 0 + -21v + 21v + -5v2 + 5v2
18 + -18u + -6uv + 21v + 5v2 = -21v + 21v + -5v2 + 5v2

Combine like terms: -21v + 21v = 0
18 + -18u + -6uv + 21v + 5v2 = 0 + -5v2 + 5v2
18 + -18u + -6uv + 21v + 5v2 = -5v2 + 5v2

Combine like terms: -5v2 + 5v2 = 0
18 + -18u + -6uv + 21v + 5v2 = 0

The solution to this equation could not be determined.

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