(x+5)(x+5)=9

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Solution for (x+5)(x+5)=9 equation: 


Simplifying
(x + 5)(x + 5) = 9

Reorder the terms:
(5 + x)(x + 5) = 9

Reorder the terms:
(5 + x)(5 + x) = 9

Multiply (5 + x) * (5 + x)
(5(5 + x) + x(5 + x)) = 9
((5 * 5 + x * 5) + x(5 + x)) = 9
((25 + 5x) + x(5 + x)) = 9
(25 + 5x + (5 * x + x * x)) = 9
(25 + 5x + (5x + x2)) = 9

Combine like terms: 5x + 5x = 10x
(25 + 10x + x2) = 9

Solving
25 + 10x + x2 = 9

Solving for variable 'x'.

Reorder the terms:
25 + -9 + 10x + x2 = 9 + -9

Combine like terms: 25 + -9 = 16
16 + 10x + x2 = 9 + -9

Combine like terms: 9 + -9 = 0
16 + 10x + x2 = 0

Factor a trinomial.
(8 + x)(2 + x) = 0


Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

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

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

Simplifying
x = -2
Solution
x = {-8, -2}

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