28x^2-21x+9=0

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Solution for 28x^2-21x+9=0 equation:


Simplifying
28x2 + -21x + 9 = 0

Reorder the terms:
9 + -21x + 28x2 = 0

Solving
9 + -21x + 28x2 = 0

Solving for variable 'x'.

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

Divide each side by '28'.
0.3214285714 + -0.75x + x2 = 0

Move the constant term to the right:

Add '-0.3214285714' to each side of the equation.
0.3214285714 + -0.75x + -0.3214285714 + x2 = 0 + -0.3214285714

Reorder the terms:
0.3214285714 + -0.3214285714 + -0.75x + x2 = 0 + -0.3214285714

Combine like terms: 0.3214285714 + -0.3214285714 = 0.0000000000
0.0000000000 + -0.75x + x2 = 0 + -0.3214285714
-0.75x + x2 = 0 + -0.3214285714

Combine like terms: 0 + -0.3214285714 = -0.3214285714
-0.75x + x2 = -0.3214285714

The x term is -0.75x.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75x + 0.140625 + x2 = -0.3214285714 + 0.140625

Reorder the terms:
0.140625 + -0.75x + x2 = -0.3214285714 + 0.140625

Combine like terms: -0.3214285714 + 0.140625 = -0.1808035714
0.140625 + -0.75x + x2 = -0.1808035714

Factor a perfect square on the left side:
(x + -0.375)(x + -0.375) = -0.1808035714

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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