8y^2-15y+16=0

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Solution for 8y^2-15y+16=0 equation:


Simplifying
8y2 + -15y + 16 = 0

Reorder the terms:
16 + -15y + 8y2 = 0

Solving
16 + -15y + 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'.
2 + -1.875y + y2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -1.875y + -2 + y2 = 0 + -2

Reorder the terms:
2 + -2 + -1.875y + y2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1.875y + y2 = 0 + -2
-1.875y + y2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1.875y + y2 = -2

The y term is -1.875y.  Take half its coefficient (-0.9375).
Square it (0.87890625) and add it to both sides.

Add '0.87890625' to each side of the equation.
-1.875y + 0.87890625 + y2 = -2 + 0.87890625

Reorder the terms:
0.87890625 + -1.875y + y2 = -2 + 0.87890625

Combine like terms: -2 + 0.87890625 = -1.12109375
0.87890625 + -1.875y + y2 = -1.12109375

Factor a perfect square on the left side:
(y + -0.9375)(y + -0.9375) = -1.12109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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