8(2x+1)(x+5)=-121

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Solution for 8(2x+1)(x+5)=-121 equation: 


Simplifying
8(2x + 1)(x + 5) = -121

Reorder the terms:
8(1 + 2x)(x + 5) = -121

Reorder the terms:
8(1 + 2x)(5 + x) = -121

Multiply (1 + 2x) * (5 + x)
8(1(5 + x) + 2x * (5 + x)) = -121
8((5 * 1 + x * 1) + 2x * (5 + x)) = -121
8((5 + 1x) + 2x * (5 + x)) = -121
8(5 + 1x + (5 * 2x + x * 2x)) = -121
8(5 + 1x + (10x + 2x2)) = -121

Combine like terms: 1x + 10x = 11x
8(5 + 11x + 2x2) = -121
(5 * 8 + 11x * 8 + 2x2 * 8) = -121
(40 + 88x + 16x2) = -121

Solving
40 + 88x + 16x2 = -121

Solving for variable 'x'.

Reorder the terms:
40 + 121 + 88x + 16x2 = -121 + 121

Combine like terms: 40 + 121 = 161
161 + 88x + 16x2 = -121 + 121

Combine like terms: -121 + 121 = 0
161 + 88x + 16x2 = 0

Begin completing the square.  Divide all terms by
16 the coefficient of the squared term: 

Divide each side by '16'.
10.0625 + 5.5x + x2 = 0

Move the constant term to the right:

Add '-10.0625' to each side of the equation.
10.0625 + 5.5x + -10.0625 + x2 = 0 + -10.0625

Reorder the terms:
10.0625 + -10.0625 + 5.5x + x2 = 0 + -10.0625

Combine like terms: 10.0625 + -10.0625 = 0.0000
0.0000 + 5.5x + x2 = 0 + -10.0625
5.5x + x2 = 0 + -10.0625

Combine like terms: 0 + -10.0625 = -10.0625
5.5x + x2 = -10.0625

The x term is 5.5x.  Take half its coefficient (2.75).
Square it (7.5625) and add it to both sides.

Add '7.5625' to each side of the equation.
5.5x + 7.5625 + x2 = -10.0625 + 7.5625

Reorder the terms:
7.5625 + 5.5x + x2 = -10.0625 + 7.5625

Combine like terms: -10.0625 + 7.5625 = -2.5
7.5625 + 5.5x + x2 = -2.5

Factor a perfect square on the left side:
(x + 2.75)(x + 2.75) = -2.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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