A^2+2A+18=8-5A

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Solution for A^2+2A+18=8-5A equation: 


Simplifying
A2 + 2A + 18 = 8 + -5A

Reorder the terms:
18 + 2A + A2 = 8 + -5A

Solving
18 + 2A + A2 = 8 + -5A

Solving for variable 'A'.

Reorder the terms:
18 + -8 + 2A + 5A + A2 = 8 + -5A + -8 + 5A

Combine like terms: 18 + -8 = 10
10 + 2A + 5A + A2 = 8 + -5A + -8 + 5A

Combine like terms: 2A + 5A = 7A
10 + 7A + A2 = 8 + -5A + -8 + 5A

Reorder the terms:
10 + 7A + A2 = 8 + -8 + -5A + 5A

Combine like terms: 8 + -8 = 0
10 + 7A + A2 = 0 + -5A + 5A
10 + 7A + A2 = -5A + 5A

Combine like terms: -5A + 5A = 0
10 + 7A + A2 = 0

Factor a trinomial.
(5 + A)(2 + A) = 0


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

Simplifying
5 + A = 0

Solving
5 + A = 0

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

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

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

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

Simplifying
A = -5

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

Simplifying
2 + A = 0

Solving
2 + A = 0

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

Add '-2' to each side of the equation.
2 + -2 + A = 0 + -2

Combine like terms: 2 + -2 = 0
0 + A = 0 + -2
A = 0 + -2

Combine like terms: 0 + -2 = -2
A = -2

Simplifying
A = -2
Solution
A = {-5, -2}

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