10x^2+9y^2-40y+175=0

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Solution for 10x^2+9y^2-40y+175=0 equation: 


Simplifying
10x2 + 9y2 + -40y + 175 = 0

Reorder the terms:
175 + 10x2 + -40y + 9y2 = 0

Solving
175 + 10x2 + -40y + 9y2 = 0

Solving for variable 'x'.

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

Add '-175' to each side of the equation.
175 + 10x2 + -40y + -175 + 9y2 = 0 + -175

Reorder the terms:
175 + -175 + 10x2 + -40y + 9y2 = 0 + -175

Combine like terms: 175 + -175 = 0
0 + 10x2 + -40y + 9y2 = 0 + -175
10x2 + -40y + 9y2 = 0 + -175

Combine like terms: 0 + -175 = -175
10x2 + -40y + 9y2 = -175

Add '40y' to each side of the equation.
10x2 + -40y + 40y + 9y2 = -175 + 40y

Combine like terms: -40y + 40y = 0
10x2 + 0 + 9y2 = -175 + 40y
10x2 + 9y2 = -175 + 40y

Add '-9y2' to each side of the equation.
10x2 + 9y2 + -9y2 = -175 + 40y + -9y2

Combine like terms: 9y2 + -9y2 = 0
10x2 + 0 = -175 + 40y + -9y2
10x2 = -175 + 40y + -9y2

Divide each side by '10'.
x2 = -17.5 + 4y + -0.9y2

Simplifying
x2 = -17.5 + 4y + -0.9y2

Reorder the terms:
17.5 + x2 + -4y + 0.9y2 = -17.5 + 4y + -0.9y2 + 17.5 + -4y + 0.9y2

Reorder the terms:
17.5 + x2 + -4y + 0.9y2 = -17.5 + 17.5 + 4y + -4y + -0.9y2 + 0.9y2

Combine like terms: -17.5 + 17.5 = 0.0
17.5 + x2 + -4y + 0.9y2 = 0.0 + 4y + -4y + -0.9y2 + 0.9y2
17.5 + x2 + -4y + 0.9y2 = 4y + -4y + -0.9y2 + 0.9y2

Combine like terms: 4y + -4y = 0
17.5 + x2 + -4y + 0.9y2 = 0 + -0.9y2 + 0.9y2
17.5 + x2 + -4y + 0.9y2 = -0.9y2 + 0.9y2

Combine like terms: -0.9y2 + 0.9y2 = 0.0
17.5 + x2 + -4y + 0.9y2 = 0.0

The solution to this equation could not be determined.

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