2u^2+13u+10=(u+2)(U+2)

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Solution for 2u^2+13u+10=(u+2)(U+2) equation: 


Simplifying
2u2 + 13u + 10 = (u + 2)(U + 2)

Reorder the terms:
10 + 13u + 2u2 = (u + 2)(U + 2)

Reorder the terms:
10 + 13u + 2u2 = (2 + u)(U + 2)

Reorder the terms:
10 + 13u + 2u2 = (2 + u)(2 + U)

Multiply (2 + u) * (2 + U)
10 + 13u + 2u2 = (2(2 + U) + u(2 + U))
10 + 13u + 2u2 = ((2 * 2 + U * 2) + u(2 + U))
10 + 13u + 2u2 = ((4 + 2U) + u(2 + U))
10 + 13u + 2u2 = (4 + 2U + (2 * u + U * u))
10 + 13u + 2u2 = (4 + 2U + (2u + uU))
10 + 13u + 2u2 = (4 + 2U + 2u + uU)

Solving
10 + 13u + 2u2 = 4 + 2U + 2u + uU

Solving for variable 'u'.

Reorder the terms:
10 + -4 + -2U + 13u + -2u + -1uU + 2u2 = 4 + 2U + 2u + uU + -4 + -2U + -2u + -1uU

Combine like terms: 10 + -4 = 6
6 + -2U + 13u + -2u + -1uU + 2u2 = 4 + 2U + 2u + uU + -4 + -2U + -2u + -1uU

Combine like terms: 13u + -2u = 11u
6 + -2U + 11u + -1uU + 2u2 = 4 + 2U + 2u + uU + -4 + -2U + -2u + -1uU

Reorder the terms:
6 + -2U + 11u + -1uU + 2u2 = 4 + -4 + 2U + -2U + 2u + -2u + uU + -1uU

Combine like terms: 4 + -4 = 0
6 + -2U + 11u + -1uU + 2u2 = 0 + 2U + -2U + 2u + -2u + uU + -1uU
6 + -2U + 11u + -1uU + 2u2 = 2U + -2U + 2u + -2u + uU + -1uU

Combine like terms: 2U + -2U = 0
6 + -2U + 11u + -1uU + 2u2 = 0 + 2u + -2u + uU + -1uU
6 + -2U + 11u + -1uU + 2u2 = 2u + -2u + uU + -1uU

Combine like terms: 2u + -2u = 0
6 + -2U + 11u + -1uU + 2u2 = 0 + uU + -1uU
6 + -2U + 11u + -1uU + 2u2 = uU + -1uU

Combine like terms: uU + -1uU = 0
6 + -2U + 11u + -1uU + 2u2 = 0

The solution to this equation could not be determined.

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