-8x^2+2x-9=0

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


Simplifying
-8x2 + 2x + -9 = 0

Reorder the terms:
-9 + 2x + -8x2 = 0

Solving
-9 + 2x + -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 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-1.125' to each side of the equation.
1.125 + -0.25x + -1.125 + x2 = 0 + -1.125

Reorder the terms:
1.125 + -1.125 + -0.25x + x2 = 0 + -1.125

Combine like terms: 1.125 + -1.125 = 0.000
0.000 + -0.25x + x2 = 0 + -1.125
-0.25x + x2 = 0 + -1.125

Combine like terms: 0 + -1.125 = -1.125
-0.25x + x2 = -1.125

The x term is -0.25x.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25x + 0.015625 + x2 = -1.125 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = -1.125 + 0.015625

Combine like terms: -1.125 + 0.015625 = -1.109375
0.015625 + -0.25x + x2 = -1.109375

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = -1.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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