(x+2)(x+2)+10(x+2)+16=0

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Solution for (x+2)(x+2)+10(x+2)+16=0 equation: 


Simplifying
(x + 2)(x + 2) + 10(x + 2) + 16 = 0

Reorder the terms:
(2 + x)(x + 2) + 10(x + 2) + 16 = 0

Reorder the terms:
(2 + x)(2 + x) + 10(x + 2) + 16 = 0

Multiply (2 + x) * (2 + x)
(2(2 + x) + x(2 + x)) + 10(x + 2) + 16 = 0
((2 * 2 + x * 2) + x(2 + x)) + 10(x + 2) + 16 = 0
((4 + 2x) + x(2 + x)) + 10(x + 2) + 16 = 0
(4 + 2x + (2 * x + x * x)) + 10(x + 2) + 16 = 0
(4 + 2x + (2x + x2)) + 10(x + 2) + 16 = 0

Combine like terms: 2x + 2x = 4x
(4 + 4x + x2) + 10(x + 2) + 16 = 0

Reorder the terms:
4 + 4x + x2 + 10(2 + x) + 16 = 0
4 + 4x + x2 + (2 * 10 + x * 10) + 16 = 0
4 + 4x + x2 + (20 + 10x) + 16 = 0

Reorder the terms:
4 + 20 + 16 + 4x + 10x + x2 = 0

Combine like terms: 4 + 20 = 24
24 + 16 + 4x + 10x + x2 = 0

Combine like terms: 24 + 16 = 40
40 + 4x + 10x + x2 = 0

Combine like terms: 4x + 10x = 14x
40 + 14x + x2 = 0

Solving
40 + 14x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(10 + x)(4 + 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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-10, -4}

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