x(x+5)=-6(x+3)

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Solution for x(x+5)=-6(x+3) equation: 


Simplifying
x(x + 5) = -6(x + 3)

Reorder the terms:
x(5 + x) = -6(x + 3)
(5 * x + x * x) = -6(x + 3)
(5x + x2) = -6(x + 3)

Reorder the terms:
5x + x2 = -6(3 + x)
5x + x2 = (3 * -6 + x * -6)
5x + x2 = (-18 + -6x)

Solving
5x + x2 = -18 + -6x

Solving for variable 'x'.

Reorder the terms:
18 + 5x + 6x + x2 = -18 + -6x + 18 + 6x

Combine like terms: 5x + 6x = 11x
18 + 11x + x2 = -18 + -6x + 18 + 6x

Reorder the terms:
18 + 11x + x2 = -18 + 18 + -6x + 6x

Combine like terms: -18 + 18 = 0
18 + 11x + x2 = 0 + -6x + 6x
18 + 11x + x2 = -6x + 6x

Combine like terms: -6x + 6x = 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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