5x^2-32x+59=0

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Solution for 5x^2-32x+59=0 equation:


Simplifying
5x2 + -32x + 59 = 0

Reorder the terms:
59 + -32x + 5x2 = 0

Solving
59 + -32x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
11.8 + -6.4x + x2 = 0

Move the constant term to the right:

Add '-11.8' to each side of the equation.
11.8 + -6.4x + -11.8 + x2 = 0 + -11.8

Reorder the terms:
11.8 + -11.8 + -6.4x + x2 = 0 + -11.8

Combine like terms: 11.8 + -11.8 = 0.0
0.0 + -6.4x + x2 = 0 + -11.8
-6.4x + x2 = 0 + -11.8

Combine like terms: 0 + -11.8 = -11.8
-6.4x + x2 = -11.8

The x term is -6.4x.  Take half its coefficient (-3.2).
Square it (10.24) and add it to both sides.

Add '10.24' to each side of the equation.
-6.4x + 10.24 + x2 = -11.8 + 10.24

Reorder the terms:
10.24 + -6.4x + x2 = -11.8 + 10.24

Combine like terms: -11.8 + 10.24 = -1.56
10.24 + -6.4x + x2 = -1.56

Factor a perfect square on the left side:
(x + -3.2)(x + -3.2) = -1.56

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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