x^2+16y^2-6x-32abs(y)+9=0

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Solution for x^2+16y^2-6x-32abs(y)+9=0 equation:


Simplifying
x2 + 16y2 + -6x + -32abs(y) + 9 = 0

Multiply abs * y
x2 + 16y2 + -6x + -32absy + 9 = 0

Reorder the terms:
9 + -32absy + -6x + x2 + 16y2 = 0

Solving
9 + -32absy + -6x + x2 + 16y2 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -32absy + -6x + x2 + -9 + 16y2 = 0 + -9

Reorder the terms:
9 + -9 + -32absy + -6x + x2 + 16y2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -32absy + -6x + x2 + 16y2 = 0 + -9
-32absy + -6x + x2 + 16y2 = 0 + -9

Combine like terms: 0 + -9 = -9
-32absy + -6x + x2 + 16y2 = -9

Add '6x' to each side of the equation.
-32absy + -6x + x2 + 6x + 16y2 = -9 + 6x

Reorder the terms:
-32absy + -6x + 6x + x2 + 16y2 = -9 + 6x

Combine like terms: -6x + 6x = 0
-32absy + 0 + x2 + 16y2 = -9 + 6x
-32absy + x2 + 16y2 = -9 + 6x

Add '-1x2' to each side of the equation.
-32absy + x2 + -1x2 + 16y2 = -9 + 6x + -1x2

Combine like terms: x2 + -1x2 = 0
-32absy + 0 + 16y2 = -9 + 6x + -1x2
-32absy + 16y2 = -9 + 6x + -1x2

Add '-16y2' to each side of the equation.
-32absy + 16y2 + -16y2 = -9 + 6x + -1x2 + -16y2

Combine like terms: 16y2 + -16y2 = 0
-32absy + 0 = -9 + 6x + -1x2 + -16y2
-32absy = -9 + 6x + -1x2 + -16y2

Divide each side by '-32bsy'.
a = 0.28125b-1s-1y-1 + -0.1875b-1s-1xy-1 + 0.03125b-1s-1x2y-1 + 0.5b-1s-1y

Simplifying
a = 0.28125b-1s-1y-1 + -0.1875b-1s-1xy-1 + 0.03125b-1s-1x2y-1 + 0.5b-1s-1y

Reorder the terms:
a = -0.1875b-1s-1xy-1 + 0.03125b-1s-1x2y-1 + 0.28125b-1s-1y-1 + 0.5b-1s-1y

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