(7u*u-2u+4)+(-u*-u+5u+3)=

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


Simplifying
(7u * u + -2u + 4) + (-1u * -1u + 5u + 3) = 0

Multiply u * u
(7u2 + -2u + 4) + (-1u * -1u + 5u + 3) = 0

Reorder the terms:
(4 + -2u + 7u2) + (-1u * -1u + 5u + 3) = 0

Remove parenthesis around (4 + -2u + 7u2)
4 + -2u + 7u2 + (-1u * -1u + 5u + 3) = 0

Reorder the terms for easier multiplication:
4 + -2u + 7u2 + (-1 * -1u * u + 5u + 3) = 0

Multiply -1 * -1
4 + -2u + 7u2 + (1u * u + 5u + 3) = 0

Multiply u * u
4 + -2u + 7u2 + (1u2 + 5u + 3) = 0

Reorder the terms:
4 + -2u + 7u2 + (3 + 5u + 1u2) = 0

Remove parenthesis around (3 + 5u + 1u2)
4 + -2u + 7u2 + 3 + 5u + 1u2 = 0

Reorder the terms:
4 + 3 + -2u + 5u + 7u2 + 1u2 = 0

Combine like terms: 4 + 3 = 7
7 + -2u + 5u + 7u2 + 1u2 = 0

Combine like terms: -2u + 5u = 3u
7 + 3u + 7u2 + 1u2 = 0

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

Solving
7 + 3u + 8u2 = 0

Solving for variable 'u'.

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

Divide each side by '8'.
0.875 + 0.375u + u2 = 0

Move the constant term to the right:

Add '-0.875' to each side of the equation.
0.875 + 0.375u + -0.875 + u2 = 0 + -0.875

Reorder the terms:
0.875 + -0.875 + 0.375u + u2 = 0 + -0.875

Combine like terms: 0.875 + -0.875 = 0.000
0.000 + 0.375u + u2 = 0 + -0.875
0.375u + u2 = 0 + -0.875

Combine like terms: 0 + -0.875 = -0.875
0.375u + u2 = -0.875

The u term is 0.375u.  Take half its coefficient (0.1875).
Square it (0.03515625) and add it to both sides.

Add '0.03515625' to each side of the equation.
0.375u + 0.03515625 + u2 = -0.875 + 0.03515625

Reorder the terms:
0.03515625 + 0.375u + u2 = -0.875 + 0.03515625

Combine like terms: -0.875 + 0.03515625 = -0.83984375
0.03515625 + 0.375u + u2 = -0.83984375

Factor a perfect square on the left side:
(u + 0.1875)(u + 0.1875) = -0.83984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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