(8u^2-3u+11)-(2u^2-5u-4)=

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Solution for (8u^2-3u+11)-(2u^2-5u-4)= equation: 


Simplifying
(8u2 + -3u + 11) + -1(2u2 + -5u + -4) = 0

Reorder the terms:
(11 + -3u + 8u2) + -1(2u2 + -5u + -4) = 0

Remove parenthesis around (11 + -3u + 8u2)
11 + -3u + 8u2 + -1(2u2 + -5u + -4) = 0

Reorder the terms:
11 + -3u + 8u2 + -1(-4 + -5u + 2u2) = 0
11 + -3u + 8u2 + (-4 * -1 + -5u * -1 + 2u2 * -1) = 0
11 + -3u + 8u2 + (4 + 5u + -2u2) = 0

Reorder the terms:
11 + 4 + -3u + 5u + 8u2 + -2u2 = 0

Combine like terms: 11 + 4 = 15
15 + -3u + 5u + 8u2 + -2u2 = 0

Combine like terms: -3u + 5u = 2u
15 + 2u + 8u2 + -2u2 = 0

Combine like terms: 8u2 + -2u2 = 6u2
15 + 2u + 6u2 = 0

Solving
15 + 2u + 6u2 = 0

Solving for variable 'u'.

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

Divide each side by '6'.
2.5 + 0.3333333333u + u2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + 0.3333333333u + -2.5 + u2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + 0.3333333333u + u2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 0.3333333333u + u2 = 0 + -2.5
0.3333333333u + u2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
0.3333333333u + u2 = -2.5

The u term is 0.3333333333u.  Take half its coefficient (0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
0.3333333333u + 0.02777777779 + u2 = -2.5 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333u + u2 = -2.5 + 0.02777777779

Combine like terms: -2.5 + 0.02777777779 = -2.47222222221
0.02777777779 + 0.3333333333u + u2 = -2.47222222221

Factor a perfect square on the left side:
(u + 0.1666666667)(u + 0.1666666667) = -2.47222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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