y(y+3.125)=-11.317578125

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Solution for y(y+3.125)=-11.317578125 equation: 


Simplifying
y(y + 3.125) = -11.317578125

Reorder the terms:
y(3.125 + y) = -11.317578125
(3.125 * y + y * y) = -11.317578125
(3.125y + y2) = -11.317578125

Solving
3.125y + y2 = -11.317578125

Solving for variable 'y'.

Reorder the terms:
11.317578125 + 3.125y + y2 = -11.317578125 + 11.317578125

Combine like terms: -11.317578125 + 11.317578125 = 0.000000000
11.317578125 + 3.125y + y2 = 0.000000000

Begin completing the square.

Move the constant term to the right:

Add '-11.317578125' to each side of the equation.
11.317578125 + 3.125y + -11.317578125 + y2 = 0.000000000 + -11.317578125

Reorder the terms:
11.317578125 + -11.317578125 + 3.125y + y2 = 0.000000000 + -11.317578125

Combine like terms: 11.317578125 + -11.317578125 = 0.000000000
0.000000000 + 3.125y + y2 = 0.000000000 + -11.317578125
3.125y + y2 = 0.000000000 + -11.317578125

Combine like terms: 0.000000000 + -11.317578125 = -11.317578125
3.125y + y2 = -11.317578125

The y term is 3.125y.  Take half its coefficient (1.5625).
Square it (2.44140625) and add it to both sides.

Add '2.44140625' to each side of the equation.
3.125y + 2.44140625 + y2 = -11.317578125 + 2.44140625

Reorder the terms:
2.44140625 + 3.125y + y2 = -11.317578125 + 2.44140625

Combine like terms: -11.317578125 + 2.44140625 = -8.876171875
2.44140625 + 3.125y + y2 = -8.876171875

Factor a perfect square on the left side:
(y + 1.5625)(y + 1.5625) = -8.876171875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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