11-(3x-6)+2(4x+5)x=

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Solution for 11-(3x-6)+2(4x+5)x= equation: 


Simplifying
11 + -1(3x + -6) + 2(4x + 5) * x = 0

Reorder the terms:
11 + -1(-6 + 3x) + 2(4x + 5) * x = 0
11 + (-6 * -1 + 3x * -1) + 2(4x + 5) * x = 0
11 + (6 + -3x) + 2(4x + 5) * x = 0

Reorder the terms:
11 + 6 + -3x + 2(5 + 4x) * x = 0

Reorder the terms for easier multiplication:
11 + 6 + -3x + 2x(5 + 4x) = 0
11 + 6 + -3x + (5 * 2x + 4x * 2x) = 0
11 + 6 + -3x + (10x + 8x2) = 0

Combine like terms: 11 + 6 = 17
17 + -3x + 10x + 8x2 = 0

Combine like terms: -3x + 10x = 7x
17 + 7x + 8x2 = 0

Solving
17 + 7x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
2.125 + 0.875x + x2 = 0

Move the constant term to the right:

Add '-2.125' to each side of the equation.
2.125 + 0.875x + -2.125 + x2 = 0 + -2.125

Reorder the terms:
2.125 + -2.125 + 0.875x + x2 = 0 + -2.125

Combine like terms: 2.125 + -2.125 = 0.000
0.000 + 0.875x + x2 = 0 + -2.125
0.875x + x2 = 0 + -2.125

Combine like terms: 0 + -2.125 = -2.125
0.875x + x2 = -2.125

The x term is 0.875x.  Take half its coefficient (0.4375).
Square it (0.19140625) and add it to both sides.

Add '0.19140625' to each side of the equation.
0.875x + 0.19140625 + x2 = -2.125 + 0.19140625

Reorder the terms:
0.19140625 + 0.875x + x2 = -2.125 + 0.19140625

Combine like terms: -2.125 + 0.19140625 = -1.93359375
0.19140625 + 0.875x + x2 = -1.93359375

Factor a perfect square on the left side:
(x + 0.4375)(x + 0.4375) = -1.93359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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