2u^2+7u+15+(u+5)=0

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Solution for 2u^2+7u+15+(u+5)=0 equation: 


Simplifying
2u2 + 7u + 15 + (u + 5) = 0

Reorder the terms:
2u2 + 7u + 15 + (5 + u) = 0

Remove parenthesis around (5 + u)
2u2 + 7u + 15 + 5 + u = 0

Reorder the terms:
15 + 5 + 7u + u + 2u2 = 0

Combine like terms: 15 + 5 = 20
20 + 7u + u + 2u2 = 0

Combine like terms: 7u + u = 8u
20 + 8u + 2u2 = 0

Solving
20 + 8u + 2u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + 4u + u2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(10 + 4u + u2)' equal to zero and attempt to solve:

Simplifying
10 + 4u + u2 = 0

Solving
10 + 4u + u2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + 4u + -10 + u2 = 0 + -10

Reorder the terms:
10 + -10 + 4u + u2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 4u + u2 = 0 + -10
4u + u2 = 0 + -10

Combine like terms: 0 + -10 = -10
4u + u2 = -10

The u term is 4u.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4u + 4 + u2 = -10 + 4

Reorder the terms:
4 + 4u + u2 = -10 + 4

Combine like terms: -10 + 4 = -6
4 + 4u + u2 = -6

Factor a perfect square on the left side:
(u + 2)(u + 2) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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