9x(6x+5)=9x-11

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Solution for 9x(6x+5)=9x-11 equation: 


Simplifying
9x(6x + 5) = 9x + -11

Reorder the terms:
9x(5 + 6x) = 9x + -11
(5 * 9x + 6x * 9x) = 9x + -11
(45x + 54x2) = 9x + -11

Reorder the terms:
45x + 54x2 = -11 + 9x

Solving
45x + 54x2 = -11 + 9x

Solving for variable 'x'.

Reorder the terms:
11 + 45x + -9x + 54x2 = -11 + 9x + 11 + -9x

Combine like terms: 45x + -9x = 36x
11 + 36x + 54x2 = -11 + 9x + 11 + -9x

Reorder the terms:
11 + 36x + 54x2 = -11 + 11 + 9x + -9x

Combine like terms: -11 + 11 = 0
11 + 36x + 54x2 = 0 + 9x + -9x
11 + 36x + 54x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
11 + 36x + 54x2 = 0

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

Divide each side by '54'.
0.2037037037 + 0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-0.2037037037' to each side of the equation.
0.2037037037 + 0.6666666667x + -0.2037037037 + x2 = 0 + -0.2037037037

Reorder the terms:
0.2037037037 + -0.2037037037 + 0.6666666667x + x2 = 0 + -0.2037037037

Combine like terms: 0.2037037037 + -0.2037037037 = 0.0000000000
0.0000000000 + 0.6666666667x + x2 = 0 + -0.2037037037
0.6666666667x + x2 = 0 + -0.2037037037

Combine like terms: 0 + -0.2037037037 = -0.2037037037
0.6666666667x + x2 = -0.2037037037

The x term is 0.6666666667x.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667x + 0.1111111112 + x2 = -0.2037037037 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x + x2 = -0.2037037037 + 0.1111111112

Combine like terms: -0.2037037037 + 0.1111111112 = -0.0925925925
0.1111111112 + 0.6666666667x + x2 = -0.0925925925

Factor a perfect square on the left side:
(x + 0.3333333334)(x + 0.3333333334) = -0.0925925925

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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