29x^2-60x+40=0

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Solution for 29x^2-60x+40=0 equation:


Simplifying
29x2 + -60x + 40 = 0

Reorder the terms:
40 + -60x + 29x2 = 0

Solving
40 + -60x + 29x2 = 0

Solving for variable 'x'.

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

Divide each side by '29'.
1.379310345 + -2.068965517x + x2 = 0

Move the constant term to the right:

Add '-1.379310345' to each side of the equation.
1.379310345 + -2.068965517x + -1.379310345 + x2 = 0 + -1.379310345

Reorder the terms:
1.379310345 + -1.379310345 + -2.068965517x + x2 = 0 + -1.379310345

Combine like terms: 1.379310345 + -1.379310345 = 0.000000000
0.000000000 + -2.068965517x + x2 = 0 + -1.379310345
-2.068965517x + x2 = 0 + -1.379310345

Combine like terms: 0 + -1.379310345 = -1.379310345
-2.068965517x + x2 = -1.379310345

The x term is -2.068965517x.  Take half its coefficient (-1.034482759).
Square it (1.070154579) and add it to both sides.

Add '1.070154579' to each side of the equation.
-2.068965517x + 1.070154579 + x2 = -1.379310345 + 1.070154579

Reorder the terms:
1.070154579 + -2.068965517x + x2 = -1.379310345 + 1.070154579

Combine like terms: -1.379310345 + 1.070154579 = -0.309155766
1.070154579 + -2.068965517x + x2 = -0.309155766

Factor a perfect square on the left side:
(x + -1.034482759)(x + -1.034482759) = -0.309155766

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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