30x^2-13x+10=0

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Solution for 30x^2-13x+10=0 equation:


Simplifying
30x2 + -13x + 10 = 0

Reorder the terms:
10 + -13x + 30x2 = 0

Solving
10 + -13x + 30x2 = 0

Solving for variable 'x'.

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

Divide each side by '30'.
0.3333333333 + -0.4333333333x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.4333333333x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.4333333333x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.4333333333x + x2 = 0 + -0.3333333333
-0.4333333333x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.4333333333x + x2 = -0.3333333333

The x term is -0.4333333333x.  Take half its coefficient (-0.2166666667).
Square it (0.04694444446) and add it to both sides.

Add '0.04694444446' to each side of the equation.
-0.4333333333x + 0.04694444446 + x2 = -0.3333333333 + 0.04694444446

Reorder the terms:
0.04694444446 + -0.4333333333x + x2 = -0.3333333333 + 0.04694444446

Combine like terms: -0.3333333333 + 0.04694444446 = -0.28638888884
0.04694444446 + -0.4333333333x + x2 = -0.28638888884

Factor a perfect square on the left side:
(x + -0.2166666667)(x + -0.2166666667) = -0.28638888884

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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