(2u^2-6u+3)+(-u^2+7u+4)=0

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Solution for (2u^2-6u+3)+(-u^2+7u+4)=0 equation:


Simplifying
(2u2 + -6u + 3) + (-1u2 + 7u + 4) = 0

Reorder the terms:
(3 + -6u + 2u2) + (-1u2 + 7u + 4) = 0

Remove parenthesis around (3 + -6u + 2u2)
3 + -6u + 2u2 + (-1u2 + 7u + 4) = 0

Reorder the terms:
3 + -6u + 2u2 + (4 + 7u + -1u2) = 0

Remove parenthesis around (4 + 7u + -1u2)
3 + -6u + 2u2 + 4 + 7u + -1u2 = 0

Reorder the terms:
3 + 4 + -6u + 7u + 2u2 + -1u2 = 0

Combine like terms: 3 + 4 = 7
7 + -6u + 7u + 2u2 + -1u2 = 0

Combine like terms: -6u + 7u = 1u
7 + 1u + 2u2 + -1u2 = 0

Combine like terms: 2u2 + -1u2 = 1u2
7 + 1u + 1u2 = 0

Solving
7 + 1u + 1u2 = 0

Solving for variable 'u'.

Begin completing the square.

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + 1u + -7 + u2 = 0 + -7

Reorder the terms:
7 + -7 + 1u + u2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 1u + u2 = 0 + -7
1u + u2 = 0 + -7

Combine like terms: 0 + -7 = -7
1u + u2 = -7

The u term is 1u.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
u + 0.25 + u2 = -7 + 0.25

Reorder the terms:
0.25 + u + u2 = -7 + 0.25

Combine like terms: -7 + 0.25 = -6.75
0.25 + u + u2 = -6.75

Factor a perfect square on the left side:
(u + 0.5)(u + 0.5) = -6.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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