(x^2+6x+5)+(x^2+6x+5)=

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Solution for (x^2+6x+5)+(x^2+6x+5)= equation: 


Simplifying
(x2 + 6x + 5) + (x2 + 6x + 5) = 0

Reorder the terms:
(5 + 6x + x2) + (x2 + 6x + 5) = 0

Remove parenthesis around (5 + 6x + x2)
5 + 6x + x2 + (x2 + 6x + 5) = 0

Reorder the terms:
5 + 6x + x2 + (5 + 6x + x2) = 0

Remove parenthesis around (5 + 6x + x2)
5 + 6x + x2 + 5 + 6x + x2 = 0

Reorder the terms:
5 + 5 + 6x + 6x + x2 + x2 = 0

Combine like terms: 5 + 5 = 10
10 + 6x + 6x + x2 + x2 = 0

Combine like terms: 6x + 6x = 12x
10 + 12x + x2 + x2 = 0

Combine like terms: x2 + x2 = 2x2
10 + 12x + 2x2 = 0

Solving
10 + 12x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + 6x + x2) = 0

Factor a trinomial.
2((5 + x)(1 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {-5, -1}

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