x^2+7x+25=-6x-5

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Solution for x^2+7x+25=-6x-5 equation: 


Simplifying
x2 + 7x + 25 = -6x + -5

Reorder the terms:
25 + 7x + x2 = -6x + -5

Reorder the terms:
25 + 7x + x2 = -5 + -6x

Solving
25 + 7x + x2 = -5 + -6x

Solving for variable 'x'.

Reorder the terms:
25 + 5 + 7x + 6x + x2 = -5 + -6x + 5 + 6x

Combine like terms: 25 + 5 = 30
30 + 7x + 6x + x2 = -5 + -6x + 5 + 6x

Combine like terms: 7x + 6x = 13x
30 + 13x + x2 = -5 + -6x + 5 + 6x

Reorder the terms:
30 + 13x + x2 = -5 + 5 + -6x + 6x

Combine like terms: -5 + 5 = 0
30 + 13x + x2 = 0 + -6x + 6x
30 + 13x + x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
30 + 13x + x2 = 0

Factor a trinomial.
(10 + x)(3 + x) = 0


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

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-10, -3}

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