(x+2)2+5(x+2)+4=0

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Solution for (x+2)2+5(x+2)+4=0 equation:


Simplifying
(x + 2) * 2 + 5(x + 2) + 4 = 0

Reorder the terms:
(2 + x) * 2 + 5(x + 2) + 4 = 0

Reorder the terms for easier multiplication:
2(2 + x) + 5(x + 2) + 4 = 0
(2 * 2 + x * 2) + 5(x + 2) + 4 = 0
(4 + 2x) + 5(x + 2) + 4 = 0

Reorder the terms:
4 + 2x + 5(2 + x) + 4 = 0
4 + 2x + (2 * 5 + x * 5) + 4 = 0
4 + 2x + (10 + 5x) + 4 = 0

Reorder the terms:
4 + 10 + 4 + 2x + 5x = 0

Combine like terms: 4 + 10 = 14
14 + 4 + 2x + 5x = 0

Combine like terms: 14 + 4 = 18
18 + 2x + 5x = 0

Combine like terms: 2x + 5x = 7x
18 + 7x = 0

Solving
18 + 7x = 0

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 7x = 0 + -18

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

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

Divide each side by '7'.
x = -2.571428571

Simplifying
x = -2.571428571

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