(8u^2-2u+9)-(-5u^2+9u-7)+(9u^2+8u+7)=

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Solution for (8u^2-2u+9)-(-5u^2+9u-7)+(9u^2+8u+7)= equation:


Simplifying
(8u2 + -2u + 9) + -1(-5u2 + 9u + -7) + (9u2 + 8u + 7) = 0

Reorder the terms:
(9 + -2u + 8u2) + -1(-5u2 + 9u + -7) + (9u2 + 8u + 7) = 0

Remove parenthesis around (9 + -2u + 8u2)
9 + -2u + 8u2 + -1(-5u2 + 9u + -7) + (9u2 + 8u + 7) = 0

Reorder the terms:
9 + -2u + 8u2 + -1(-7 + 9u + -5u2) + (9u2 + 8u + 7) = 0
9 + -2u + 8u2 + (-7 * -1 + 9u * -1 + -5u2 * -1) + (9u2 + 8u + 7) = 0
9 + -2u + 8u2 + (7 + -9u + 5u2) + (9u2 + 8u + 7) = 0

Reorder the terms:
9 + -2u + 8u2 + 7 + -9u + 5u2 + (7 + 8u + 9u2) = 0

Remove parenthesis around (7 + 8u + 9u2)
9 + -2u + 8u2 + 7 + -9u + 5u2 + 7 + 8u + 9u2 = 0

Reorder the terms:
9 + 7 + 7 + -2u + -9u + 8u + 8u2 + 5u2 + 9u2 = 0

Combine like terms: 9 + 7 = 16
16 + 7 + -2u + -9u + 8u + 8u2 + 5u2 + 9u2 = 0

Combine like terms: 16 + 7 = 23
23 + -2u + -9u + 8u + 8u2 + 5u2 + 9u2 = 0

Combine like terms: -2u + -9u = -11u
23 + -11u + 8u + 8u2 + 5u2 + 9u2 = 0

Combine like terms: -11u + 8u = -3u
23 + -3u + 8u2 + 5u2 + 9u2 = 0

Combine like terms: 8u2 + 5u2 = 13u2
23 + -3u + 13u2 + 9u2 = 0

Combine like terms: 13u2 + 9u2 = 22u2
23 + -3u + 22u2 = 0

Solving
23 + -3u + 22u2 = 0

Solving for variable 'u'.

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

Divide each side by '22'.
1.045454545 + -0.1363636364u + u2 = 0

Move the constant term to the right:

Add '-1.045454545' to each side of the equation.
1.045454545 + -0.1363636364u + -1.045454545 + u2 = 0 + -1.045454545

Reorder the terms:
1.045454545 + -1.045454545 + -0.1363636364u + u2 = 0 + -1.045454545

Combine like terms: 1.045454545 + -1.045454545 = 0.000000000
0.000000000 + -0.1363636364u + u2 = 0 + -1.045454545
-0.1363636364u + u2 = 0 + -1.045454545

Combine like terms: 0 + -1.045454545 = -1.045454545
-0.1363636364u + u2 = -1.045454545

The u term is -0.1363636364u.  Take half its coefficient (-0.0681818182).
Square it (0.004648760333) and add it to both sides.

Add '0.004648760333' to each side of the equation.
-0.1363636364u + 0.004648760333 + u2 = -1.045454545 + 0.004648760333

Reorder the terms:
0.004648760333 + -0.1363636364u + u2 = -1.045454545 + 0.004648760333

Combine like terms: -1.045454545 + 0.004648760333 = -1.040805784667
0.004648760333 + -0.1363636364u + u2 = -1.040805784667

Factor a perfect square on the left side:
(u + -0.0681818182)(u + -0.0681818182) = -1.040805784667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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