(U-1)(u-1)=(u+3)+5

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Solution for (U-1)(u-1)=(u+3)+5 equation: 


Simplifying
(U + -1)(u + -1) = (u + 3) + 5

Reorder the terms:
(-1 + U)(u + -1) = (u + 3) + 5

Reorder the terms:
(-1 + U)(-1 + u) = (u + 3) + 5

Multiply (-1 + U) * (-1 + u)
(-1(-1 + u) + U(-1 + u)) = (u + 3) + 5
((-1 * -1 + u * -1) + U(-1 + u)) = (u + 3) + 5
((1 + -1u) + U(-1 + u)) = (u + 3) + 5
(1 + -1u + (-1 * U + u * U)) = (u + 3) + 5
(1 + -1u + (-1U + uU)) = (u + 3) + 5

Reorder the terms:
(1 + -1U + -1u + uU) = (u + 3) + 5
(1 + -1U + -1u + uU) = (u + 3) + 5

Reorder the terms:
1 + -1U + -1u + uU = (3 + u) + 5

Remove parenthesis around (3 + u)
1 + -1U + -1u + uU = 3 + u + 5

Reorder the terms:
1 + -1U + -1u + uU = 3 + 5 + u

Combine like terms: 3 + 5 = 8
1 + -1U + -1u + uU = 8 + u

Solving
1 + -1U + -1u + uU = 8 + u

Solving for variable 'U'.

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

Add '-1' to each side of the equation.
1 + -1U + -1u + -1 + uU = 8 + -1 + u

Reorder the terms:
1 + -1 + -1U + -1u + uU = 8 + -1 + u

Combine like terms: 1 + -1 = 0
0 + -1U + -1u + uU = 8 + -1 + u
-1U + -1u + uU = 8 + -1 + u

Combine like terms: 8 + -1 = 7
-1U + -1u + uU = 7 + u

Add 'u' to each side of the equation.
-1U + -1u + u + uU = 7 + u + u

Combine like terms: -1u + u = 0
-1U + 0 + uU = 7 + u + u
-1U + uU = 7 + u + u

Combine like terms: u + u = 2u
-1U + uU = 7 + 2u

Reorder the terms:
-7 + -1U + -2u + uU = 7 + 2u + -7 + -2u

Reorder the terms:
-7 + -1U + -2u + uU = 7 + -7 + 2u + -2u

Combine like terms: 7 + -7 = 0
-7 + -1U + -2u + uU = 0 + 2u + -2u
-7 + -1U + -2u + uU = 2u + -2u

Combine like terms: 2u + -2u = 0
-7 + -1U + -2u + uU = 0

The solution to this equation could not be determined.

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