128x^2-24x+9=0

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Solution for 128x^2-24x+9=0 equation:


Simplifying
128x2 + -24x + 9 = 0

Reorder the terms:
9 + -24x + 128x2 = 0

Solving
9 + -24x + 128x2 = 0

Solving for variable 'x'.

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

Divide each side by '128'.
0.0703125 + -0.1875x + x2 = 0

Move the constant term to the right:

Add '-0.0703125' to each side of the equation.
0.0703125 + -0.1875x + -0.0703125 + x2 = 0 + -0.0703125

Reorder the terms:
0.0703125 + -0.0703125 + -0.1875x + x2 = 0 + -0.0703125

Combine like terms: 0.0703125 + -0.0703125 = 0.0000000
0.0000000 + -0.1875x + x2 = 0 + -0.0703125
-0.1875x + x2 = 0 + -0.0703125

Combine like terms: 0 + -0.0703125 = -0.0703125
-0.1875x + x2 = -0.0703125

The x term is -0.1875x.  Take half its coefficient (-0.09375).
Square it (0.0087890625) and add it to both sides.

Add '0.0087890625' to each side of the equation.
-0.1875x + 0.0087890625 + x2 = -0.0703125 + 0.0087890625

Reorder the terms:
0.0087890625 + -0.1875x + x2 = -0.0703125 + 0.0087890625

Combine like terms: -0.0703125 + 0.0087890625 = -0.0615234375
0.0087890625 + -0.1875x + x2 = -0.0615234375

Factor a perfect square on the left side:
(x + -0.09375)(x + -0.09375) = -0.0615234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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