(x+3)(x+3)=-4x-15

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Solution for (x+3)(x+3)=-4x-15 equation: 


Simplifying
(x + 3)(x + 3) = -4x + -15

Reorder the terms:
(3 + x)(x + 3) = -4x + -15

Reorder the terms:
(3 + x)(3 + x) = -4x + -15

Multiply (3 + x) * (3 + x)
(3(3 + x) + x(3 + x)) = -4x + -15
((3 * 3 + x * 3) + x(3 + x)) = -4x + -15
((9 + 3x) + x(3 + x)) = -4x + -15
(9 + 3x + (3 * x + x * x)) = -4x + -15
(9 + 3x + (3x + x2)) = -4x + -15

Combine like terms: 3x + 3x = 6x
(9 + 6x + x2) = -4x + -15

Reorder the terms:
9 + 6x + x2 = -15 + -4x

Solving
9 + 6x + x2 = -15 + -4x

Solving for variable 'x'.

Reorder the terms:
9 + 15 + 6x + 4x + x2 = -15 + -4x + 15 + 4x

Combine like terms: 9 + 15 = 24
24 + 6x + 4x + x2 = -15 + -4x + 15 + 4x

Combine like terms: 6x + 4x = 10x
24 + 10x + x2 = -15 + -4x + 15 + 4x

Reorder the terms:
24 + 10x + x2 = -15 + 15 + -4x + 4x

Combine like terms: -15 + 15 = 0
24 + 10x + x2 = 0 + -4x + 4x
24 + 10x + x2 = -4x + 4x

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

Factor a trinomial.
(6 + x)(4 + x) = 0


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 '(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 = {-6, -4}

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