9x^2=5x-9

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


Simplifying
9x2 = 5x + -9

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

Solving
9x2 = -9 + 5x

Solving for variable 'x'.

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

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

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

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

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

Divide each side by '9'.
1 + -0.5555555556x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.5555555556x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.5555555556x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.5555555556x + x2 = 0 + -1
-0.5555555556x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.5555555556x + x2 = -1

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 = -1 + 0.07716049384

Reorder the terms:
0.07716049384 + -0.5555555556x + x2 = -1 + 0.07716049384

Combine like terms: -1 + 0.07716049384 = -0.92283950616
0.07716049384 + -0.5555555556x + x2 = -0.92283950616

Factor a perfect square on the left side:
(x + -0.2777777778)(x + -0.2777777778) = -0.92283950616

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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