9x(6x+8)=9x-26

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Solution for 9x(6x+8)=9x-26 equation:


Simplifying
9x(6x + 8) = 9x + -26

Reorder the terms:
9x(8 + 6x) = 9x + -26
(8 * 9x + 6x * 9x) = 9x + -26
(72x + 54x2) = 9x + -26

Reorder the terms:
72x + 54x2 = -26 + 9x

Solving
72x + 54x2 = -26 + 9x

Solving for variable 'x'.

Reorder the terms:
26 + 72x + -9x + 54x2 = -26 + 9x + 26 + -9x

Combine like terms: 72x + -9x = 63x
26 + 63x + 54x2 = -26 + 9x + 26 + -9x

Reorder the terms:
26 + 63x + 54x2 = -26 + 26 + 9x + -9x

Combine like terms: -26 + 26 = 0
26 + 63x + 54x2 = 0 + 9x + -9x
26 + 63x + 54x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
26 + 63x + 54x2 = 0

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

Divide each side by '54'.
0.4814814815 + 1.166666667x + x2 = 0

Move the constant term to the right:

Add '-0.4814814815' to each side of the equation.
0.4814814815 + 1.166666667x + -0.4814814815 + x2 = 0 + -0.4814814815

Reorder the terms:
0.4814814815 + -0.4814814815 + 1.166666667x + x2 = 0 + -0.4814814815

Combine like terms: 0.4814814815 + -0.4814814815 = 0.0000000000
0.0000000000 + 1.166666667x + x2 = 0 + -0.4814814815
1.166666667x + x2 = 0 + -0.4814814815

Combine like terms: 0 + -0.4814814815 = -0.4814814815
1.166666667x + x2 = -0.4814814815

The x term is 1.166666667x.  Take half its coefficient (0.5833333335).
Square it (0.3402777780) and add it to both sides.

Add '0.3402777780' to each side of the equation.
1.166666667x + 0.3402777780 + x2 = -0.4814814815 + 0.3402777780

Reorder the terms:
0.3402777780 + 1.166666667x + x2 = -0.4814814815 + 0.3402777780

Combine like terms: -0.4814814815 + 0.3402777780 = -0.1412037035
0.3402777780 + 1.166666667x + x2 = -0.1412037035

Factor a perfect square on the left side:
(x + 0.5833333335)(x + 0.5833333335) = -0.1412037035

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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