5x^2+30x+25=-5x-5

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Solution for 5x^2+30x+25=-5x-5 equation: 


Simplifying
5x2 + 30x + 25 = -5x + -5

Reorder the terms:
25 + 30x + 5x2 = -5x + -5

Reorder the terms:
25 + 30x + 5x2 = -5 + -5x

Solving
25 + 30x + 5x2 = -5 + -5x

Solving for variable 'x'.

Reorder the terms:
25 + 5 + 30x + 5x + 5x2 = -5 + -5x + 5 + 5x

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

Combine like terms: 30x + 5x = 35x
30 + 35x + 5x2 = -5 + -5x + 5 + 5x

Reorder the terms:
30 + 35x + 5x2 = -5 + 5 + -5x + 5x

Combine like terms: -5 + 5 = 0
30 + 35x + 5x2 = 0 + -5x + 5x
30 + 35x + 5x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
30 + 35x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(6 + 7x + x2) = 0

Factor a trinomial.
5((6 + x)(1 + x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6

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 = {-6, -1}

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