(7x^2-6x+23)=

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Solution for (7x^2-6x+23)= equation:


Simplifying
(7x2 + -6x + 23) = 0

Reorder the terms:
(23 + -6x + 7x2) = 0

Remove parenthesis around (23 + -6x + 7x2)
23 + -6x + 7x2 = 0

Solving
23 + -6x + 7x2 = 0

Solving for variable 'x'.

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

Divide each side by '7'.
3.285714286 + -0.8571428571x + x2 = 0

Move the constant term to the right:

Add '-3.285714286' to each side of the equation.
3.285714286 + -0.8571428571x + -3.285714286 + x2 = 0 + -3.285714286

Reorder the terms:
3.285714286 + -3.285714286 + -0.8571428571x + x2 = 0 + -3.285714286

Combine like terms: 3.285714286 + -3.285714286 = 0.000000000
0.000000000 + -0.8571428571x + x2 = 0 + -3.285714286
-0.8571428571x + x2 = 0 + -3.285714286

Combine like terms: 0 + -3.285714286 = -3.285714286
-0.8571428571x + x2 = -3.285714286

The x term is -0.8571428571x.  Take half its coefficient (-0.4285714286).
Square it (0.1836734694) and add it to both sides.

Add '0.1836734694' to each side of the equation.
-0.8571428571x + 0.1836734694 + x2 = -3.285714286 + 0.1836734694

Reorder the terms:
0.1836734694 + -0.8571428571x + x2 = -3.285714286 + 0.1836734694

Combine like terms: -3.285714286 + 0.1836734694 = -3.1020408166
0.1836734694 + -0.8571428571x + x2 = -3.1020408166

Factor a perfect square on the left side:
(x + -0.4285714286)(x + -0.4285714286) = -3.1020408166

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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