U^2-2u+4=(2u-3)(u+6)

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Solution for U^2-2u+4=(2u-3)(u+6) equation: 


Simplifying
U2 + -2u + 4 = (2u + -3)(u + 6)

Reorder the terms:
4 + U2 + -2u = (2u + -3)(u + 6)

Reorder the terms:
4 + U2 + -2u = (-3 + 2u)(u + 6)

Reorder the terms:
4 + U2 + -2u = (-3 + 2u)(6 + u)

Multiply (-3 + 2u) * (6 + u)
4 + U2 + -2u = (-3(6 + u) + 2u * (6 + u))
4 + U2 + -2u = ((6 * -3 + u * -3) + 2u * (6 + u))
4 + U2 + -2u = ((-18 + -3u) + 2u * (6 + u))
4 + U2 + -2u = (-18 + -3u + (6 * 2u + u * 2u))
4 + U2 + -2u = (-18 + -3u + (12u + 2u2))

Combine like terms: -3u + 12u = 9u
4 + U2 + -2u = (-18 + 9u + 2u2)

Solving
4 + U2 + -2u = -18 + 9u + 2u2

Solving for variable 'U'.

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

Add '-4' to each side of the equation.
4 + U2 + -4 + -2u = -18 + 9u + -4 + 2u2

Reorder the terms:
4 + -4 + U2 + -2u = -18 + 9u + -4 + 2u2

Combine like terms: 4 + -4 = 0
0 + U2 + -2u = -18 + 9u + -4 + 2u2
U2 + -2u = -18 + 9u + -4 + 2u2

Reorder the terms:
U2 + -2u = -18 + -4 + 9u + 2u2

Combine like terms: -18 + -4 = -22
U2 + -2u = -22 + 9u + 2u2

Add '2u' to each side of the equation.
U2 + -2u + 2u = -22 + 9u + 2u + 2u2

Combine like terms: -2u + 2u = 0
U2 + 0 = -22 + 9u + 2u + 2u2
U2 = -22 + 9u + 2u + 2u2

Combine like terms: 9u + 2u = 11u
U2 = -22 + 11u + 2u2

Simplifying
U2 = -22 + 11u + 2u2

Reorder the terms:
22 + U2 + -11u + -2u2 = -22 + 11u + 2u2 + 22 + -11u + -2u2

Reorder the terms:
22 + U2 + -11u + -2u2 = -22 + 22 + 11u + -11u + 2u2 + -2u2

Combine like terms: -22 + 22 = 0
22 + U2 + -11u + -2u2 = 0 + 11u + -11u + 2u2 + -2u2
22 + U2 + -11u + -2u2 = 11u + -11u + 2u2 + -2u2

Combine like terms: 11u + -11u = 0
22 + U2 + -11u + -2u2 = 0 + 2u2 + -2u2
22 + U2 + -11u + -2u2 = 2u2 + -2u2

Combine like terms: 2u2 + -2u2 = 0
22 + U2 + -11u + -2u2 = 0

The solution to this equation could not be determined.

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