9x^2-4x+13=10

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Solution for 9x^2-4x+13=10 equation: 


Simplifying
9x2 + -4x + 13 = 10

Reorder the terms:
13 + -4x + 9x2 = 10

Solving
13 + -4x + 9x2 = 10

Solving for variable 'x'.

Reorder the terms:
13 + -10 + -4x + 9x2 = 10 + -10

Combine like terms: 13 + -10 = 3
3 + -4x + 9x2 = 10 + -10

Combine like terms: 10 + -10 = 0
3 + -4x + 9x2 = 0

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

Divide each side by '9'.
0.3333333333 + -0.4444444444x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.4444444444x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.4444444444x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.4444444444x + x2 = 0 + -0.3333333333
-0.4444444444x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.4444444444x + x2 = -0.3333333333

The x term is -0.4444444444x.  Take half its coefficient (-0.2222222222).
Square it (0.04938271604) and add it to both sides.

Add '0.04938271604' to each side of the equation.
-0.4444444444x + 0.04938271604 + x2 = -0.3333333333 + 0.04938271604

Reorder the terms:
0.04938271604 + -0.4444444444x + x2 = -0.3333333333 + 0.04938271604

Combine like terms: -0.3333333333 + 0.04938271604 = -0.28395061726
0.04938271604 + -0.4444444444x + x2 = -0.28395061726

Factor a perfect square on the left side:
(x + -0.2222222222)(x + -0.2222222222) = -0.28395061726

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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