8y^2-y+7=0

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Solution for 8y^2-y+7=0 equation:


Simplifying
8y2 + -1y + 7 = 0

Reorder the terms:
7 + -1y + 8y2 = 0

Solving
7 + -1y + 8y2 = 0

Solving for variable 'y'.

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

Divide each side by '8'.
0.875 + -0.125y + y2 = 0

Move the constant term to the right:

Add '-0.875' to each side of the equation.
0.875 + -0.125y + -0.875 + y2 = 0 + -0.875

Reorder the terms:
0.875 + -0.875 + -0.125y + y2 = 0 + -0.875

Combine like terms: 0.875 + -0.875 = 0.000
0.000 + -0.125y + y2 = 0 + -0.875
-0.125y + y2 = 0 + -0.875

Combine like terms: 0 + -0.875 = -0.875
-0.125y + y2 = -0.875

The y term is -0.125y.  Take half its coefficient (-0.0625).
Square it (0.00390625) and add it to both sides.

Add '0.00390625' to each side of the equation.
-0.125y + 0.00390625 + y2 = -0.875 + 0.00390625

Reorder the terms:
0.00390625 + -0.125y + y2 = -0.875 + 0.00390625

Combine like terms: -0.875 + 0.00390625 = -0.87109375
0.00390625 + -0.125y + y2 = -0.87109375

Factor a perfect square on the left side:
(y + -0.0625)(y + -0.0625) = -0.87109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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