(3u^2-4u+6)+(-u^2+5u+7)=

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Solution for (3u^2-4u+6)+(-u^2+5u+7)= equation:


Simplifying
(3u2 + -4u + 6) + (-1u2 + 5u + 7) = 0

Reorder the terms:
(6 + -4u + 3u2) + (-1u2 + 5u + 7) = 0

Remove parenthesis around (6 + -4u + 3u2)
6 + -4u + 3u2 + (-1u2 + 5u + 7) = 0

Reorder the terms:
6 + -4u + 3u2 + (7 + 5u + -1u2) = 0

Remove parenthesis around (7 + 5u + -1u2)
6 + -4u + 3u2 + 7 + 5u + -1u2 = 0

Reorder the terms:
6 + 7 + -4u + 5u + 3u2 + -1u2 = 0

Combine like terms: 6 + 7 = 13
13 + -4u + 5u + 3u2 + -1u2 = 0

Combine like terms: -4u + 5u = 1u
13 + 1u + 3u2 + -1u2 = 0

Combine like terms: 3u2 + -1u2 = 2u2
13 + 1u + 2u2 = 0

Solving
13 + 1u + 2u2 = 0

Solving for variable 'u'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
6.5 + 0.5u + u2 = 0

Move the constant term to the right:

Add '-6.5' to each side of the equation.
6.5 + 0.5u + -6.5 + u2 = 0 + -6.5

Reorder the terms:
6.5 + -6.5 + 0.5u + u2 = 0 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + 0.5u + u2 = 0 + -6.5
0.5u + u2 = 0 + -6.5

Combine like terms: 0 + -6.5 = -6.5
0.5u + u2 = -6.5

The u term is 0.5u.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5u + 0.0625 + u2 = -6.5 + 0.0625

Reorder the terms:
0.0625 + 0.5u + u2 = -6.5 + 0.0625

Combine like terms: -6.5 + 0.0625 = -6.4375
0.0625 + 0.5u + u2 = -6.4375

Factor a perfect square on the left side:
(u + 0.25)(u + 0.25) = -6.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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