8x^2-16x+9=0

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Solution for 8x^2-16x+9=0 equation:


Simplifying
8x2 + -16x + 9 = 0

Reorder the terms:
9 + -16x + 8x2 = 0

Solving
9 + -16x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
1.125 + -2x + x2 = 0

Move the constant term to the right:

Add '-1.125' to each side of the equation.
1.125 + -2x + -1.125 + x2 = 0 + -1.125

Reorder the terms:
1.125 + -1.125 + -2x + x2 = 0 + -1.125

Combine like terms: 1.125 + -1.125 = 0.000
0.000 + -2x + x2 = 0 + -1.125
-2x + x2 = 0 + -1.125

Combine like terms: 0 + -1.125 = -1.125
-2x + x2 = -1.125

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -1.125 + 1

Reorder the terms:
1 + -2x + x2 = -1.125 + 1

Combine like terms: -1.125 + 1 = -0.125
1 + -2x + x2 = -0.125

Factor a perfect square on the left side:
(x + -1)(x + -1) = -0.125

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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