U^2+2u+1=2u^2+6u-4

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Solution for U^2+2u+1=2u^2+6u-4 equation:


Simplifying
U2 + 2u + 1 = 2u2 + 6u + -4

Reorder the terms:
1 + U2 + 2u = 2u2 + 6u + -4

Reorder the terms:
1 + U2 + 2u = -4 + 6u + 2u2

Solving
1 + U2 + 2u = -4 + 6u + 2u2

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 + U2 + -1 + 2u = -4 + 6u + -1 + 2u2

Reorder the terms:
1 + -1 + U2 + 2u = -4 + 6u + -1 + 2u2

Combine like terms: 1 + -1 = 0
0 + U2 + 2u = -4 + 6u + -1 + 2u2
U2 + 2u = -4 + 6u + -1 + 2u2

Reorder the terms:
U2 + 2u = -4 + -1 + 6u + 2u2

Combine like terms: -4 + -1 = -5
U2 + 2u = -5 + 6u + 2u2

Add '-2u' to each side of the equation.
U2 + 2u + -2u = -5 + 6u + -2u + 2u2

Combine like terms: 2u + -2u = 0
U2 + 0 = -5 + 6u + -2u + 2u2
U2 = -5 + 6u + -2u + 2u2

Combine like terms: 6u + -2u = 4u
U2 = -5 + 4u + 2u2

Simplifying
U2 = -5 + 4u + 2u2

Reorder the terms:
5 + U2 + -4u + -2u2 = -5 + 4u + 2u2 + 5 + -4u + -2u2

Reorder the terms:
5 + U2 + -4u + -2u2 = -5 + 5 + 4u + -4u + 2u2 + -2u2

Combine like terms: -5 + 5 = 0
5 + U2 + -4u + -2u2 = 0 + 4u + -4u + 2u2 + -2u2
5 + U2 + -4u + -2u2 = 4u + -4u + 2u2 + -2u2

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

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

The solution to this equation could not be determined.

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