64y^2-48y+9=-32

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Solution for 64y^2-48y+9=-32 equation:


Simplifying
64y2 + -48y + 9 = -32

Reorder the terms:
9 + -48y + 64y2 = -32

Solving
9 + -48y + 64y2 = -32

Solving for variable 'y'.

Reorder the terms:
9 + 32 + -48y + 64y2 = -32 + 32

Combine like terms: 9 + 32 = 41
41 + -48y + 64y2 = -32 + 32

Combine like terms: -32 + 32 = 0
41 + -48y + 64y2 = 0

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

Divide each side by '64'.
0.640625 + -0.75y + y2 = 0

Move the constant term to the right:

Add '-0.640625' to each side of the equation.
0.640625 + -0.75y + -0.640625 + y2 = 0 + -0.640625

Reorder the terms:
0.640625 + -0.640625 + -0.75y + y2 = 0 + -0.640625

Combine like terms: 0.640625 + -0.640625 = 0.000000
0.000000 + -0.75y + y2 = 0 + -0.640625
-0.75y + y2 = 0 + -0.640625

Combine like terms: 0 + -0.640625 = -0.640625
-0.75y + y2 = -0.640625

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 = -0.640625 + 0.140625

Reorder the terms:
0.140625 + -0.75y + y2 = -0.640625 + 0.140625

Combine like terms: -0.640625 + 0.140625 = -0.5
0.140625 + -0.75y + y2 = -0.5

Factor a perfect square on the left side:
(y + -0.375)(y + -0.375) = -0.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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