0=8X^2-5X+5

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Solution for 0=8X^2-5X+5 equation: 


Simplifying
0 = 8X2 + -5X + 5

Reorder the terms:
0 = 5 + -5X + 8X2

Solving
0 = 5 + -5X + 8X2

Solving for variable 'X'.

Combine like terms: 0 + -5 = -5
-5 + 5X + -8X2 = 5 + -5X + 8X2 + -5 + 5X + -8X2

Reorder the terms:
-5 + 5X + -8X2 = 5 + -5 + -5X + 5X + 8X2 + -8X2

Combine like terms: 5 + -5 = 0
-5 + 5X + -8X2 = 0 + -5X + 5X + 8X2 + -8X2
-5 + 5X + -8X2 = -5X + 5X + 8X2 + -8X2

Combine like terms: -5X + 5X = 0
-5 + 5X + -8X2 = 0 + 8X2 + -8X2
-5 + 5X + -8X2 = 8X2 + -8X2

Combine like terms: 8X2 + -8X2 = 0
-5 + 5X + -8X2 = 0

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

Divide each side by '-8'.
0.625 + -0.625X + X2 = 0

Move the constant term to the right:

Add '-0.625' to each side of the equation.
0.625 + -0.625X + -0.625 + X2 = 0 + -0.625

Reorder the terms:
0.625 + -0.625 + -0.625X + X2 = 0 + -0.625

Combine like terms: 0.625 + -0.625 = 0.000
0.000 + -0.625X + X2 = 0 + -0.625
-0.625X + X2 = 0 + -0.625

Combine like terms: 0 + -0.625 = -0.625
-0.625X + X2 = -0.625

The X term is -0.625X.  Take half its coefficient (-0.3125).
Square it (0.09765625) and add it to both sides.

Add '0.09765625' to each side of the equation.
-0.625X + 0.09765625 + X2 = -0.625 + 0.09765625

Reorder the terms:
0.09765625 + -0.625X + X2 = -0.625 + 0.09765625

Combine like terms: -0.625 + 0.09765625 = -0.52734375
0.09765625 + -0.625X + X2 = -0.52734375

Factor a perfect square on the left side:
(X + -0.3125)(X + -0.3125) = -0.52734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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