5x-8=9x^2

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Solution for 5x-8=9x^2 equation:


Simplifying
5x + -8 = 9x2

Reorder the terms:
-8 + 5x = 9x2

Solving
-8 + 5x = 9x2

Solving for variable 'x'.

Combine like terms: 9x2 + -9x2 = 0
-8 + 5x + -9x2 = 0

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
0.8888888889 + -0.5555555556x + x2 = 0

Move the constant term to the right:

Add '-0.8888888889' to each side of the equation.
0.8888888889 + -0.5555555556x + -0.8888888889 + x2 = 0 + -0.8888888889

Reorder the terms:
0.8888888889 + -0.8888888889 + -0.5555555556x + x2 = 0 + -0.8888888889

Combine like terms: 0.8888888889 + -0.8888888889 = 0.0000000000
0.0000000000 + -0.5555555556x + x2 = 0 + -0.8888888889
-0.5555555556x + x2 = 0 + -0.8888888889

Combine like terms: 0 + -0.8888888889 = -0.8888888889
-0.5555555556x + x2 = -0.8888888889

The x term is -0.5555555556x.  Take half its coefficient (-0.2777777778).
Square it (0.07716049384) and add it to both sides.

Add '0.07716049384' to each side of the equation.
-0.5555555556x + 0.07716049384 + x2 = -0.8888888889 + 0.07716049384

Reorder the terms:
0.07716049384 + -0.5555555556x + x2 = -0.8888888889 + 0.07716049384

Combine like terms: -0.8888888889 + 0.07716049384 = -0.81172839506
0.07716049384 + -0.5555555556x + x2 = -0.81172839506

Factor a perfect square on the left side:
(x + -0.2777777778)(x + -0.2777777778) = -0.81172839506

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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