14x^2-59x+190=0

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Solution for 14x^2-59x+190=0 equation:


Simplifying
14x2 + -59x + 190 = 0

Reorder the terms:
190 + -59x + 14x2 = 0

Solving
190 + -59x + 14x2 = 0

Solving for variable 'x'.

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

Divide each side by '14'.
13.57142857 + -4.214285714x + x2 = 0

Move the constant term to the right:

Add '-13.57142857' to each side of the equation.
13.57142857 + -4.214285714x + -13.57142857 + x2 = 0 + -13.57142857

Reorder the terms:
13.57142857 + -13.57142857 + -4.214285714x + x2 = 0 + -13.57142857

Combine like terms: 13.57142857 + -13.57142857 = 0.00000000
0.00000000 + -4.214285714x + x2 = 0 + -13.57142857
-4.214285714x + x2 = 0 + -13.57142857

Combine like terms: 0 + -13.57142857 = -13.57142857
-4.214285714x + x2 = -13.57142857

The x term is -4.214285714x.  Take half its coefficient (-2.107142857).
Square it (4.440051020) and add it to both sides.

Add '4.440051020' to each side of the equation.
-4.214285714x + 4.440051020 + x2 = -13.57142857 + 4.440051020

Reorder the terms:
4.440051020 + -4.214285714x + x2 = -13.57142857 + 4.440051020

Combine like terms: -13.57142857 + 4.440051020 = -9.13137755
4.440051020 + -4.214285714x + x2 = -9.13137755

Factor a perfect square on the left side:
(x + -2.107142857)(x + -2.107142857) = -9.13137755

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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