7x^2=23x-20

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Solution for 7x^2=23x-20 equation: 


Simplifying
7x2 = 23x + -20

Reorder the terms:
7x2 = -20 + 23x

Solving
7x2 = -20 + 23x

Solving for variable 'x'.

Reorder the terms:
20 + -23x + 7x2 = -20 + 23x + 20 + -23x

Reorder the terms:
20 + -23x + 7x2 = -20 + 20 + 23x + -23x

Combine like terms: -20 + 20 = 0
20 + -23x + 7x2 = 0 + 23x + -23x
20 + -23x + 7x2 = 23x + -23x

Combine like terms: 23x + -23x = 0
20 + -23x + 7x2 = 0

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

Divide each side by '7'.
2.857142857 + -3.285714286x + x2 = 0

Move the constant term to the right:

Add '-2.857142857' to each side of the equation.
2.857142857 + -3.285714286x + -2.857142857 + x2 = 0 + -2.857142857

Reorder the terms:
2.857142857 + -2.857142857 + -3.285714286x + x2 = 0 + -2.857142857

Combine like terms: 2.857142857 + -2.857142857 = 0.000000000
0.000000000 + -3.285714286x + x2 = 0 + -2.857142857
-3.285714286x + x2 = 0 + -2.857142857

Combine like terms: 0 + -2.857142857 = -2.857142857
-3.285714286x + x2 = -2.857142857

The x term is -3.285714286x.  Take half its coefficient (-1.642857143).
Square it (2.698979592) and add it to both sides.

Add '2.698979592' to each side of the equation.
-3.285714286x + 2.698979592 + x2 = -2.857142857 + 2.698979592

Reorder the terms:
2.698979592 + -3.285714286x + x2 = -2.857142857 + 2.698979592

Combine like terms: -2.857142857 + 2.698979592 = -0.158163265
2.698979592 + -3.285714286x + x2 = -0.158163265

Factor a perfect square on the left side:
(x + -1.642857143)(x + -1.642857143) = -0.158163265

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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