x^2+4+y^2-10y=7

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Solution for x^2+4+y^2-10y=7 equation:


Simplifying
x2 + 4 + y2 + -10y = 7

Reorder the terms:
4 + x2 + -10y + y2 = 7

Solving
4 + x2 + -10y + y2 = 7

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + x2 + -10y + -4 + y2 = 7 + -4

Reorder the terms:
4 + -4 + x2 + -10y + y2 = 7 + -4

Combine like terms: 4 + -4 = 0
0 + x2 + -10y + y2 = 7 + -4
x2 + -10y + y2 = 7 + -4

Combine like terms: 7 + -4 = 3
x2 + -10y + y2 = 3

Add '10y' to each side of the equation.
x2 + -10y + 10y + y2 = 3 + 10y

Combine like terms: -10y + 10y = 0
x2 + 0 + y2 = 3 + 10y
x2 + y2 = 3 + 10y

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 = 3 + 10y + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 = 3 + 10y + -1y2
x2 = 3 + 10y + -1y2

Simplifying
x2 = 3 + 10y + -1y2

Reorder the terms:
-3 + x2 + -10y + y2 = 3 + 10y + -1y2 + -3 + -10y + y2

Reorder the terms:
-3 + x2 + -10y + y2 = 3 + -3 + 10y + -10y + -1y2 + y2

Combine like terms: 3 + -3 = 0
-3 + x2 + -10y + y2 = 0 + 10y + -10y + -1y2 + y2
-3 + x2 + -10y + y2 = 10y + -10y + -1y2 + y2

Combine like terms: 10y + -10y = 0
-3 + x2 + -10y + y2 = 0 + -1y2 + y2
-3 + x2 + -10y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-3 + x2 + -10y + y2 = 0

The solution to this equation could not be determined.

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