(-3u^2+7u+9)-(-7u^2+6u-1)+(7u^2+8u+9)=0

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Solution for (-3u^2+7u+9)-(-7u^2+6u-1)+(7u^2+8u+9)=0 equation: 


Simplifying
(-3u2 + 7u + 9) + -1(-7u2 + 6u + -1) + (7u2 + 8u + 9) = 0

Reorder the terms:
(9 + 7u + -3u2) + -1(-7u2 + 6u + -1) + (7u2 + 8u + 9) = 0

Remove parenthesis around (9 + 7u + -3u2)
9 + 7u + -3u2 + -1(-7u2 + 6u + -1) + (7u2 + 8u + 9) = 0

Reorder the terms:
9 + 7u + -3u2 + -1(-1 + 6u + -7u2) + (7u2 + 8u + 9) = 0
9 + 7u + -3u2 + (-1 * -1 + 6u * -1 + -7u2 * -1) + (7u2 + 8u + 9) = 0
9 + 7u + -3u2 + (1 + -6u + 7u2) + (7u2 + 8u + 9) = 0

Reorder the terms:
9 + 7u + -3u2 + 1 + -6u + 7u2 + (9 + 8u + 7u2) = 0

Remove parenthesis around (9 + 8u + 7u2)
9 + 7u + -3u2 + 1 + -6u + 7u2 + 9 + 8u + 7u2 = 0

Reorder the terms:
9 + 1 + 9 + 7u + -6u + 8u + -3u2 + 7u2 + 7u2 = 0

Combine like terms: 9 + 1 = 10
10 + 9 + 7u + -6u + 8u + -3u2 + 7u2 + 7u2 = 0

Combine like terms: 10 + 9 = 19
19 + 7u + -6u + 8u + -3u2 + 7u2 + 7u2 = 0

Combine like terms: 7u + -6u = 1u
19 + 1u + 8u + -3u2 + 7u2 + 7u2 = 0

Combine like terms: 1u + 8u = 9u
19 + 9u + -3u2 + 7u2 + 7u2 = 0

Combine like terms: -3u2 + 7u2 = 4u2
19 + 9u + 4u2 + 7u2 = 0

Combine like terms: 4u2 + 7u2 = 11u2
19 + 9u + 11u2 = 0

Solving
19 + 9u + 11u2 = 0

Solving for variable 'u'.

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

Divide each side by '11'.
1.727272727 + 0.8181818182u + u2 = 0

Move the constant term to the right:

Add '-1.727272727' to each side of the equation.
1.727272727 + 0.8181818182u + -1.727272727 + u2 = 0 + -1.727272727

Reorder the terms:
1.727272727 + -1.727272727 + 0.8181818182u + u2 = 0 + -1.727272727

Combine like terms: 1.727272727 + -1.727272727 = 0.000000000
0.000000000 + 0.8181818182u + u2 = 0 + -1.727272727
0.8181818182u + u2 = 0 + -1.727272727

Combine like terms: 0 + -1.727272727 = -1.727272727
0.8181818182u + u2 = -1.727272727

The u term is 0.8181818182u.  Take half its coefficient (0.4090909091).
Square it (0.1673553719) and add it to both sides.

Add '0.1673553719' to each side of the equation.
0.8181818182u + 0.1673553719 + u2 = -1.727272727 + 0.1673553719

Reorder the terms:
0.1673553719 + 0.8181818182u + u2 = -1.727272727 + 0.1673553719

Combine like terms: -1.727272727 + 0.1673553719 = -1.5599173551
0.1673553719 + 0.8181818182u + u2 = -1.5599173551

Factor a perfect square on the left side:
(u + 0.4090909091)(u + 0.4090909091) = -1.5599173551

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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