16x^2-4y^2+12y-9=0

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Solution for 16x^2-4y^2+12y-9=0 equation:


Simplifying
16x2 + -4y2 + 12y + -9 = 0

Reorder the terms:
-9 + 16x2 + 12y + -4y2 = 0

Solving
-9 + 16x2 + 12y + -4y2 = 0

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 16x2 + 12y + 9 + -4y2 = 0 + 9

Reorder the terms:
-9 + 9 + 16x2 + 12y + -4y2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 16x2 + 12y + -4y2 = 0 + 9
16x2 + 12y + -4y2 = 0 + 9

Combine like terms: 0 + 9 = 9
16x2 + 12y + -4y2 = 9

Add '-12y' to each side of the equation.
16x2 + 12y + -12y + -4y2 = 9 + -12y

Combine like terms: 12y + -12y = 0
16x2 + 0 + -4y2 = 9 + -12y
16x2 + -4y2 = 9 + -12y

Add '4y2' to each side of the equation.
16x2 + -4y2 + 4y2 = 9 + -12y + 4y2

Combine like terms: -4y2 + 4y2 = 0
16x2 + 0 = 9 + -12y + 4y2
16x2 = 9 + -12y + 4y2

Divide each side by '16'.
x2 = 0.5625 + -0.75y + 0.25y2

Simplifying
x2 = 0.5625 + -0.75y + 0.25y2

Reorder the terms:
-0.5625 + x2 + 0.75y + -0.25y2 = 0.5625 + -0.75y + 0.25y2 + -0.5625 + 0.75y + -0.25y2

Reorder the terms:
-0.5625 + x2 + 0.75y + -0.25y2 = 0.5625 + -0.5625 + -0.75y + 0.75y + 0.25y2 + -0.25y2

Combine like terms: 0.5625 + -0.5625 = 0.0000
-0.5625 + x2 + 0.75y + -0.25y2 = 0.0000 + -0.75y + 0.75y + 0.25y2 + -0.25y2
-0.5625 + x2 + 0.75y + -0.25y2 = -0.75y + 0.75y + 0.25y2 + -0.25y2

Combine like terms: -0.75y + 0.75y = 0.00
-0.5625 + x2 + 0.75y + -0.25y2 = 0.00 + 0.25y2 + -0.25y2
-0.5625 + x2 + 0.75y + -0.25y2 = 0.25y2 + -0.25y2

Combine like terms: 0.25y2 + -0.25y2 = 0.00
-0.5625 + x2 + 0.75y + -0.25y2 = 0.00

The solution to this equation could not be determined.

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