8(8y^2-9y+9)-3(8y^2-9y+5)=

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Solution for 8(8y^2-9y+9)-3(8y^2-9y+5)= equation:


Simplifying
8(8y2 + -9y + 9) + -3(8y2 + -9y + 5) = 0

Reorder the terms:
8(9 + -9y + 8y2) + -3(8y2 + -9y + 5) = 0
(9 * 8 + -9y * 8 + 8y2 * 8) + -3(8y2 + -9y + 5) = 0
(72 + -72y + 64y2) + -3(8y2 + -9y + 5) = 0

Reorder the terms:
72 + -72y + 64y2 + -3(5 + -9y + 8y2) = 0
72 + -72y + 64y2 + (5 * -3 + -9y * -3 + 8y2 * -3) = 0
72 + -72y + 64y2 + (-15 + 27y + -24y2) = 0

Reorder the terms:
72 + -15 + -72y + 27y + 64y2 + -24y2 = 0

Combine like terms: 72 + -15 = 57
57 + -72y + 27y + 64y2 + -24y2 = 0

Combine like terms: -72y + 27y = -45y
57 + -45y + 64y2 + -24y2 = 0

Combine like terms: 64y2 + -24y2 = 40y2
57 + -45y + 40y2 = 0

Solving
57 + -45y + 40y2 = 0

Solving for variable 'y'.

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

Divide each side by '40'.
1.425 + -1.125y + y2 = 0.0

Move the constant term to the right:

Add '-1.425' to each side of the equation.
1.425 + -1.125y + -1.425 + y2 = 0.0 + -1.425

Reorder the terms:
1.425 + -1.425 + -1.125y + y2 = 0.0 + -1.425

Combine like terms: 1.425 + -1.425 = 0.000
0.000 + -1.125y + y2 = 0.0 + -1.425
-1.125y + y2 = 0.0 + -1.425

Combine like terms: 0.0 + -1.425 = -1.425
-1.125y + y2 = -1.425

The y term is -1.125y.  Take half its coefficient (-0.5625).
Square it (0.31640625) and add it to both sides.

Add '0.31640625' to each side of the equation.
-1.125y + 0.31640625 + y2 = -1.425 + 0.31640625

Reorder the terms:
0.31640625 + -1.125y + y2 = -1.425 + 0.31640625

Combine like terms: -1.425 + 0.31640625 = -1.10859375
0.31640625 + -1.125y + y2 = -1.10859375

Factor a perfect square on the left side:
(y + -0.5625)(y + -0.5625) = -1.10859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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