7x^2-6x+18=0

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Solution for 7x^2-6x+18=0 equation:


Simplifying
7x2 + -6x + 18 = 0

Reorder the terms:
18 + -6x + 7x2 = 0

Solving
18 + -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'.
2.571428571 + -0.8571428571x + x2 = 0

Move the constant term to the right:

Add '-2.571428571' to each side of the equation.
2.571428571 + -0.8571428571x + -2.571428571 + x2 = 0 + -2.571428571

Reorder the terms:
2.571428571 + -2.571428571 + -0.8571428571x + x2 = 0 + -2.571428571

Combine like terms: 2.571428571 + -2.571428571 = 0.000000000
0.000000000 + -0.8571428571x + x2 = 0 + -2.571428571
-0.8571428571x + x2 = 0 + -2.571428571

Combine like terms: 0 + -2.571428571 = -2.571428571
-0.8571428571x + x2 = -2.571428571

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 = -2.571428571 + 0.1836734694

Reorder the terms:
0.1836734694 + -0.8571428571x + x2 = -2.571428571 + 0.1836734694

Combine like terms: -2.571428571 + 0.1836734694 = -2.3877551016
0.1836734694 + -0.8571428571x + x2 = -2.3877551016

Factor a perfect square on the left side:
(x + -0.4285714286)(x + -0.4285714286) = -2.3877551016

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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