10x^2-13x+5=0

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Solution for 10x^2-13x+5=0 equation:


Simplifying
10x2 + -13x + 5 = 0

Reorder the terms:
5 + -13x + 10x2 = 0

Solving
5 + -13x + 10x2 = 0

Solving for variable 'x'.

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

Divide each side by '10'.
0.5 + -1.3x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -1.3x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -1.3x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1.3x + x2 = 0 + -0.5
-1.3x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-1.3x + x2 = -0.5

The x term is -1.3x.  Take half its coefficient (-0.65).
Square it (0.4225) and add it to both sides.

Add '0.4225' to each side of the equation.
-1.3x + 0.4225 + x2 = -0.5 + 0.4225

Reorder the terms:
0.4225 + -1.3x + x2 = -0.5 + 0.4225

Combine like terms: -0.5 + 0.4225 = -0.0775
0.4225 + -1.3x + x2 = -0.0775

Factor a perfect square on the left side:
(x + -0.65)(x + -0.65) = -0.0775

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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