(12x+8y-1)(-12x+8y-1)=1

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Solution for (12x+8y-1)(-12x+8y-1)=1 equation:


Simplifying
(12x + 8y + -1)(-12x + 8y + -1) = 1

Reorder the terms:
(-1 + 12x + 8y)(-12x + 8y + -1) = 1

Reorder the terms:
(-1 + 12x + 8y)(-1 + -12x + 8y) = 1

Multiply (-1 + 12x + 8y) * (-1 + -12x + 8y)
(-1(-1 + -12x + 8y) + 12x * (-1 + -12x + 8y) + 8y * (-1 + -12x + 8y)) = 1
((-1 * -1 + -12x * -1 + 8y * -1) + 12x * (-1 + -12x + 8y) + 8y * (-1 + -12x + 8y)) = 1
((1 + 12x + -8y) + 12x * (-1 + -12x + 8y) + 8y * (-1 + -12x + 8y)) = 1
(1 + 12x + -8y + (-1 * 12x + -12x * 12x + 8y * 12x) + 8y * (-1 + -12x + 8y)) = 1

Reorder the terms:
(1 + 12x + -8y + (-12x + 96xy + -144x2) + 8y * (-1 + -12x + 8y)) = 1
(1 + 12x + -8y + (-12x + 96xy + -144x2) + 8y * (-1 + -12x + 8y)) = 1
(1 + 12x + -8y + -12x + 96xy + -144x2 + (-1 * 8y + -12x * 8y + 8y * 8y)) = 1

Reorder the terms:
(1 + 12x + -8y + -12x + 96xy + -144x2 + (-96xy + -8y + 64y2)) = 1
(1 + 12x + -8y + -12x + 96xy + -144x2 + (-96xy + -8y + 64y2)) = 1

Reorder the terms:
(1 + 12x + -12x + 96xy + -96xy + -144x2 + -8y + -8y + 64y2) = 1

Combine like terms: 12x + -12x = 0
(1 + 0 + 96xy + -96xy + -144x2 + -8y + -8y + 64y2) = 1
(1 + 96xy + -96xy + -144x2 + -8y + -8y + 64y2) = 1

Combine like terms: 96xy + -96xy = 0
(1 + 0 + -144x2 + -8y + -8y + 64y2) = 1
(1 + -144x2 + -8y + -8y + 64y2) = 1

Combine like terms: -8y + -8y = -16y
(1 + -144x2 + -16y + 64y2) = 1

Add '-1' to each side of the equation.
1 + -144x2 + -16y + -1 + 64y2 = 1 + -1

Reorder the terms:
1 + -1 + -144x2 + -16y + 64y2 = 1 + -1

Combine like terms: 1 + -1 = 0
0 + -144x2 + -16y + 64y2 = 1 + -1
-144x2 + -16y + 64y2 = 1 + -1

Combine like terms: 1 + -1 = 0
-144x2 + -16y + 64y2 = 0

Solving
-144x2 + -16y + 64y2 = 0

Solving for variable 'x'.

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

Add '16y' to each side of the equation.
-144x2 + -16y + 16y + 64y2 = 0 + 16y

Combine like terms: -16y + 16y = 0
-144x2 + 0 + 64y2 = 0 + 16y
-144x2 + 64y2 = 0 + 16y
Remove the zero:
-144x2 + 64y2 = 16y

Add '-64y2' to each side of the equation.
-144x2 + 64y2 + -64y2 = 16y + -64y2

Combine like terms: 64y2 + -64y2 = 0
-144x2 + 0 = 16y + -64y2
-144x2 = 16y + -64y2

Divide each side by '-144'.
x2 = -0.1111111111y + 0.4444444444y2

Simplifying
x2 = -0.1111111111y + 0.4444444444y2

Reorder the terms:
x2 + 0.1111111111y + -0.4444444444y2 = -0.1111111111y + 0.1111111111y + 0.4444444444y2 + -0.4444444444y2

Combine like terms: -0.1111111111y + 0.1111111111y = 0.0000000000
x2 + 0.1111111111y + -0.4444444444y2 = 0.0000000000 + 0.4444444444y2 + -0.4444444444y2
x2 + 0.1111111111y + -0.4444444444y2 = 0.4444444444y2 + -0.4444444444y2

Combine like terms: 0.4444444444y2 + -0.4444444444y2 = 0.0000000000
x2 + 0.1111111111y + -0.4444444444y2 = 0.0000000000

The solution to this equation could not be determined.

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