x^2+4x+16=-7x-2

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Solution for x^2+4x+16=-7x-2 equation: 


Simplifying
x2 + 4x + 16 = -7x + -2

Reorder the terms:
16 + 4x + x2 = -7x + -2

Reorder the terms:
16 + 4x + x2 = -2 + -7x

Solving
16 + 4x + x2 = -2 + -7x

Solving for variable 'x'.

Reorder the terms:
16 + 2 + 4x + 7x + x2 = -2 + -7x + 2 + 7x

Combine like terms: 16 + 2 = 18
18 + 4x + 7x + x2 = -2 + -7x + 2 + 7x

Combine like terms: 4x + 7x = 11x
18 + 11x + x2 = -2 + -7x + 2 + 7x

Reorder the terms:
18 + 11x + x2 = -2 + 2 + -7x + 7x

Combine like terms: -2 + 2 = 0
18 + 11x + x2 = 0 + -7x + 7x
18 + 11x + x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
18 + 11x + x2 = 0

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


Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9

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 = {-9, -2}

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