9x^2-14x+20=0

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Solution for 9x^2-14x+20=0 equation:


Simplifying
9x2 + -14x + 20 = 0

Reorder the terms:
20 + -14x + 9x2 = 0

Solving
20 + -14x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
2.222222222 + -1.555555556x + x2 = 0

Move the constant term to the right:

Add '-2.222222222' to each side of the equation.
2.222222222 + -1.555555556x + -2.222222222 + x2 = 0 + -2.222222222

Reorder the terms:
2.222222222 + -2.222222222 + -1.555555556x + x2 = 0 + -2.222222222

Combine like terms: 2.222222222 + -2.222222222 = 0.000000000
0.000000000 + -1.555555556x + x2 = 0 + -2.222222222
-1.555555556x + x2 = 0 + -2.222222222

Combine like terms: 0 + -2.222222222 = -2.222222222
-1.555555556x + x2 = -2.222222222

The x term is -1.555555556x.  Take half its coefficient (-0.777777778).
Square it (0.6049382720) and add it to both sides.

Add '0.6049382720' to each side of the equation.
-1.555555556x + 0.6049382720 + x2 = -2.222222222 + 0.6049382720

Reorder the terms:
0.6049382720 + -1.555555556x + x2 = -2.222222222 + 0.6049382720

Combine like terms: -2.222222222 + 0.6049382720 = -1.61728395
0.6049382720 + -1.555555556x + x2 = -1.61728395

Factor a perfect square on the left side:
(x + -0.777777778)(x + -0.777777778) = -1.61728395

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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