8y^2+6y+15=0

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Solution for 8y^2+6y+15=0 equation:


Simplifying
8y2 + 6y + 15 = 0

Reorder the terms:
15 + 6y + 8y2 = 0

Solving
15 + 6y + 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'.
1.875 + 0.75y + y2 = 0

Move the constant term to the right:

Add '-1.875' to each side of the equation.
1.875 + 0.75y + -1.875 + y2 = 0 + -1.875

Reorder the terms:
1.875 + -1.875 + 0.75y + y2 = 0 + -1.875

Combine like terms: 1.875 + -1.875 = 0.000
0.000 + 0.75y + y2 = 0 + -1.875
0.75y + y2 = 0 + -1.875

Combine like terms: 0 + -1.875 = -1.875
0.75y + y2 = -1.875

The y term is 0.75y.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75y + 0.140625 + y2 = -1.875 + 0.140625

Reorder the terms:
0.140625 + 0.75y + y2 = -1.875 + 0.140625

Combine like terms: -1.875 + 0.140625 = -1.734375
0.140625 + 0.75y + y2 = -1.734375

Factor a perfect square on the left side:
(y + 0.375)(y + 0.375) = -1.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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