(2x+3)2+8(2x+3)+11=0

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Solution for (2x+3)2+8(2x+3)+11=0 equation:


Simplifying
(2x + 3) * 2 + 8(2x + 3) + 11 = 0

Reorder the terms:
(3 + 2x) * 2 + 8(2x + 3) + 11 = 0

Reorder the terms for easier multiplication:
2(3 + 2x) + 8(2x + 3) + 11 = 0
(3 * 2 + 2x * 2) + 8(2x + 3) + 11 = 0
(6 + 4x) + 8(2x + 3) + 11 = 0

Reorder the terms:
6 + 4x + 8(3 + 2x) + 11 = 0
6 + 4x + (3 * 8 + 2x * 8) + 11 = 0
6 + 4x + (24 + 16x) + 11 = 0

Reorder the terms:
6 + 24 + 11 + 4x + 16x = 0

Combine like terms: 6 + 24 = 30
30 + 11 + 4x + 16x = 0

Combine like terms: 30 + 11 = 41
41 + 4x + 16x = 0

Combine like terms: 4x + 16x = 20x
41 + 20x = 0

Solving
41 + 20x = 0

Solving for variable 'x'.

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

Add '-41' to each side of the equation.
41 + -41 + 20x = 0 + -41

Combine like terms: 41 + -41 = 0
0 + 20x = 0 + -41
20x = 0 + -41

Combine like terms: 0 + -41 = -41
20x = -41

Divide each side by '20'.
x = -2.05

Simplifying
x = -2.05

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