9x^2+5y^2-36+10y-4=0

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Solution for 9x^2+5y^2-36+10y-4=0 equation: 


Simplifying
9x2 + 5y2 + -36 + 10y + -4 = 0

Reorder the terms:
-36 + -4 + 9x2 + 10y + 5y2 = 0

Combine like terms: -36 + -4 = -40
-40 + 9x2 + 10y + 5y2 = 0

Solving
-40 + 9x2 + 10y + 5y2 = 0

Solving for variable 'x'.

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

Add '40' to each side of the equation.
-40 + 9x2 + 10y + 40 + 5y2 = 0 + 40

Reorder the terms:
-40 + 40 + 9x2 + 10y + 5y2 = 0 + 40

Combine like terms: -40 + 40 = 0
0 + 9x2 + 10y + 5y2 = 0 + 40
9x2 + 10y + 5y2 = 0 + 40

Combine like terms: 0 + 40 = 40
9x2 + 10y + 5y2 = 40

Add '-10y' to each side of the equation.
9x2 + 10y + -10y + 5y2 = 40 + -10y

Combine like terms: 10y + -10y = 0
9x2 + 0 + 5y2 = 40 + -10y
9x2 + 5y2 = 40 + -10y

Add '-5y2' to each side of the equation.
9x2 + 5y2 + -5y2 = 40 + -10y + -5y2

Combine like terms: 5y2 + -5y2 = 0
9x2 + 0 = 40 + -10y + -5y2
9x2 = 40 + -10y + -5y2

Divide each side by '9'.
x2 = 4.444444444 + -1.111111111y + -0.5555555556y2

Simplifying
x2 = 4.444444444 + -1.111111111y + -0.5555555556y2

Reorder the terms:
-4.444444444 + x2 + 1.111111111y + 0.5555555556y2 = 4.444444444 + -1.111111111y + -0.5555555556y2 + -4.444444444 + 1.111111111y + 0.5555555556y2

Reorder the terms:
-4.444444444 + x2 + 1.111111111y + 0.5555555556y2 = 4.444444444 + -4.444444444 + -1.111111111y + 1.111111111y + -0.5555555556y2 + 0.5555555556y2

Combine like terms: 4.444444444 + -4.444444444 = 0.000000000
-4.444444444 + x2 + 1.111111111y + 0.5555555556y2 = 0.000000000 + -1.111111111y + 1.111111111y + -0.5555555556y2 + 0.5555555556y2
-4.444444444 + x2 + 1.111111111y + 0.5555555556y2 = -1.111111111y + 1.111111111y + -0.5555555556y2 + 0.5555555556y2

Combine like terms: -1.111111111y + 1.111111111y = 0.000000000
-4.444444444 + x2 + 1.111111111y + 0.5555555556y2 = 0.000000000 + -0.5555555556y2 + 0.5555555556y2
-4.444444444 + x2 + 1.111111111y + 0.5555555556y2 = -0.5555555556y2 + 0.5555555556y2

Combine like terms: -0.5555555556y2 + 0.5555555556y2 = 0.0000000000
-4.444444444 + x2 + 1.111111111y + 0.5555555556y2 = 0.0000000000

The solution to this equation could not be determined.

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