(x+5)2+9(x+5)+18=0

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Solution for (x+5)2+9(x+5)+18=0 equation:


Simplifying
(x + 5) * 2 + 9(x + 5) + 18 = 0

Reorder the terms:
(5 + x) * 2 + 9(x + 5) + 18 = 0

Reorder the terms for easier multiplication:
2(5 + x) + 9(x + 5) + 18 = 0
(5 * 2 + x * 2) + 9(x + 5) + 18 = 0
(10 + 2x) + 9(x + 5) + 18 = 0

Reorder the terms:
10 + 2x + 9(5 + x) + 18 = 0
10 + 2x + (5 * 9 + x * 9) + 18 = 0
10 + 2x + (45 + 9x) + 18 = 0

Reorder the terms:
10 + 45 + 18 + 2x + 9x = 0

Combine like terms: 10 + 45 = 55
55 + 18 + 2x + 9x = 0

Combine like terms: 55 + 18 = 73
73 + 2x + 9x = 0

Combine like terms: 2x + 9x = 11x
73 + 11x = 0

Solving
73 + 11x = 0

Solving for variable 'x'.

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

Add '-73' to each side of the equation.
73 + -73 + 11x = 0 + -73

Combine like terms: 73 + -73 = 0
0 + 11x = 0 + -73
11x = 0 + -73

Combine like terms: 0 + -73 = -73
11x = -73

Divide each side by '11'.
x = -6.636363636

Simplifying
x = -6.636363636

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