By using the substitution method the solution to the given equation is
x = ±7/2 + √5/2
Given the equation expressed as:
(2x +3)^2 + 8(2x + 3) + 11 = 0
Expand the equation
4x^2 + 12x + 9 + 16x + 24 + 11 = 0
4x^2 + 28x + 44 = 0
x^2 + 7x + 11 = 0
Factorize the result to have:
On factorizing the values of x are
x = ±7/2 + √5/2
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