20x-59=7x^2

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Solution for 20x-59=7x^2 equation: 


Simplifying
20x + -59 = 7x2

Reorder the terms:
-59 + 20x = 7x2

Solving
-59 + 20x = 7x2

Solving for variable 'x'.

Combine like terms: 7x2 + -7x2 = 0
-59 + 20x + -7x2 = 0

Begin completing the square.  Divide all terms by
-7 the coefficient of the squared term: 

Divide each side by '-7'.
8.428571429 + -2.857142857x + x2 = 0

Move the constant term to the right:

Add '-8.428571429' to each side of the equation.
8.428571429 + -2.857142857x + -8.428571429 + x2 = 0 + -8.428571429

Reorder the terms:
8.428571429 + -8.428571429 + -2.857142857x + x2 = 0 + -8.428571429

Combine like terms: 8.428571429 + -8.428571429 = 0.000000000
0.000000000 + -2.857142857x + x2 = 0 + -8.428571429
-2.857142857x + x2 = 0 + -8.428571429

Combine like terms: 0 + -8.428571429 = -8.428571429
-2.857142857x + x2 = -8.428571429

The x term is -2.857142857x.  Take half its coefficient (-1.428571429).
Square it (2.040816328) and add it to both sides.

Add '2.040816328' to each side of the equation.
-2.857142857x + 2.040816328 + x2 = -8.428571429 + 2.040816328

Reorder the terms:
2.040816328 + -2.857142857x + x2 = -8.428571429 + 2.040816328

Combine like terms: -8.428571429 + 2.040816328 = -6.387755101
2.040816328 + -2.857142857x + x2 = -6.387755101

Factor a perfect square on the left side:
(x + -1.428571429)(x + -1.428571429) = -6.387755101

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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