9x^2+4y^2+40y+64=0

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Solution for 9x^2+4y^2+40y+64=0 equation:


Simplifying
9x2 + 4y2 + 40y + 64 = 0

Reorder the terms:
64 + 9x2 + 40y + 4y2 = 0

Solving
64 + 9x2 + 40y + 4y2 = 0

Solving for variable 'x'.

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

Add '-64' to each side of the equation.
64 + 9x2 + 40y + -64 + 4y2 = 0 + -64

Reorder the terms:
64 + -64 + 9x2 + 40y + 4y2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + 9x2 + 40y + 4y2 = 0 + -64
9x2 + 40y + 4y2 = 0 + -64

Combine like terms: 0 + -64 = -64
9x2 + 40y + 4y2 = -64

Add '-40y' to each side of the equation.
9x2 + 40y + -40y + 4y2 = -64 + -40y

Combine like terms: 40y + -40y = 0
9x2 + 0 + 4y2 = -64 + -40y
9x2 + 4y2 = -64 + -40y

Add '-4y2' to each side of the equation.
9x2 + 4y2 + -4y2 = -64 + -40y + -4y2

Combine like terms: 4y2 + -4y2 = 0
9x2 + 0 = -64 + -40y + -4y2
9x2 = -64 + -40y + -4y2

Divide each side by '9'.
x2 = -7.111111111 + -4.444444444y + -0.4444444444y2

Simplifying
x2 = -7.111111111 + -4.444444444y + -0.4444444444y2

Reorder the terms:
7.111111111 + x2 + 4.444444444y + 0.4444444444y2 = -7.111111111 + -4.444444444y + -0.4444444444y2 + 7.111111111 + 4.444444444y + 0.4444444444y2

Reorder the terms:
7.111111111 + x2 + 4.444444444y + 0.4444444444y2 = -7.111111111 + 7.111111111 + -4.444444444y + 4.444444444y + -0.4444444444y2 + 0.4444444444y2

Combine like terms: -7.111111111 + 7.111111111 = 0.000000000
7.111111111 + x2 + 4.444444444y + 0.4444444444y2 = 0.000000000 + -4.444444444y + 4.444444444y + -0.4444444444y2 + 0.4444444444y2
7.111111111 + x2 + 4.444444444y + 0.4444444444y2 = -4.444444444y + 4.444444444y + -0.4444444444y2 + 0.4444444444y2

Combine like terms: -4.444444444y + 4.444444444y = 0.000000000
7.111111111 + x2 + 4.444444444y + 0.4444444444y2 = 0.000000000 + -0.4444444444y2 + 0.4444444444y2
7.111111111 + x2 + 4.444444444y + 0.4444444444y2 = -0.4444444444y2 + 0.4444444444y2

Combine like terms: -0.4444444444y2 + 0.4444444444y2 = 0.0000000000
7.111111111 + x2 + 4.444444444y + 0.4444444444y2 = 0.0000000000

The solution to this equation could not be determined.

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