18x^2-21x+28=0

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Solution for 18x^2-21x+28=0 equation:


Simplifying
18x2 + -21x + 28 = 0

Reorder the terms:
28 + -21x + 18x2 = 0

Solving
28 + -21x + 18x2 = 0

Solving for variable 'x'.

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

Divide each side by '18'.
1.555555556 + -1.166666667x + x2 = 0

Move the constant term to the right:

Add '-1.555555556' to each side of the equation.
1.555555556 + -1.166666667x + -1.555555556 + x2 = 0 + -1.555555556

Reorder the terms:
1.555555556 + -1.555555556 + -1.166666667x + x2 = 0 + -1.555555556

Combine like terms: 1.555555556 + -1.555555556 = 0.000000000
0.000000000 + -1.166666667x + x2 = 0 + -1.555555556
-1.166666667x + x2 = 0 + -1.555555556

Combine like terms: 0 + -1.555555556 = -1.555555556
-1.166666667x + x2 = -1.555555556

The x term is -1.166666667x.  Take half its coefficient (-0.5833333335).
Square it (0.3402777780) and add it to both sides.

Add '0.3402777780' to each side of the equation.
-1.166666667x + 0.3402777780 + x2 = -1.555555556 + 0.3402777780

Reorder the terms:
0.3402777780 + -1.166666667x + x2 = -1.555555556 + 0.3402777780

Combine like terms: -1.555555556 + 0.3402777780 = -1.215277778
0.3402777780 + -1.166666667x + x2 = -1.215277778

Factor a perfect square on the left side:
(x + -0.5833333335)(x + -0.5833333335) = -1.215277778

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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