9x^2-25y^2+10y-1=0

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Solution for 9x^2-25y^2+10y-1=0 equation:


Simplifying
9x2 + -25y2 + 10y + -1 = 0

Reorder the terms:
-1 + 9x2 + 10y + -25y2 = 0

Solving
-1 + 9x2 + 10y + -25y2 = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 9x2 + 10y + 1 + -25y2 = 0 + 1

Reorder the terms:
-1 + 1 + 9x2 + 10y + -25y2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 9x2 + 10y + -25y2 = 0 + 1
9x2 + 10y + -25y2 = 0 + 1

Combine like terms: 0 + 1 = 1
9x2 + 10y + -25y2 = 1

Add '-10y' to each side of the equation.
9x2 + 10y + -10y + -25y2 = 1 + -10y

Combine like terms: 10y + -10y = 0
9x2 + 0 + -25y2 = 1 + -10y
9x2 + -25y2 = 1 + -10y

Add '25y2' to each side of the equation.
9x2 + -25y2 + 25y2 = 1 + -10y + 25y2

Combine like terms: -25y2 + 25y2 = 0
9x2 + 0 = 1 + -10y + 25y2
9x2 = 1 + -10y + 25y2

Divide each side by '9'.
x2 = 0.1111111111 + -1.111111111y + 2.777777778y2

Simplifying
x2 = 0.1111111111 + -1.111111111y + 2.777777778y2

Reorder the terms:
-0.1111111111 + x2 + 1.111111111y + -2.777777778y2 = 0.1111111111 + -1.111111111y + 2.777777778y2 + -0.1111111111 + 1.111111111y + -2.777777778y2

Reorder the terms:
-0.1111111111 + x2 + 1.111111111y + -2.777777778y2 = 0.1111111111 + -0.1111111111 + -1.111111111y + 1.111111111y + 2.777777778y2 + -2.777777778y2

Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000
-0.1111111111 + x2 + 1.111111111y + -2.777777778y2 = 0.0000000000 + -1.111111111y + 1.111111111y + 2.777777778y2 + -2.777777778y2
-0.1111111111 + x2 + 1.111111111y + -2.777777778y2 = -1.111111111y + 1.111111111y + 2.777777778y2 + -2.777777778y2

Combine like terms: -1.111111111y + 1.111111111y = 0.000000000
-0.1111111111 + x2 + 1.111111111y + -2.777777778y2 = 0.000000000 + 2.777777778y2 + -2.777777778y2
-0.1111111111 + x2 + 1.111111111y + -2.777777778y2 = 2.777777778y2 + -2.777777778y2

Combine like terms: 2.777777778y2 + -2.777777778y2 = 0.000000000
-0.1111111111 + x2 + 1.111111111y + -2.777777778y2 = 0.000000000

The solution to this equation could not be determined.

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