x^2-7=-y^2+6y

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Solution for x^2-7=-y^2+6y equation:


Simplifying
x2 + -7 = -1y2 + 6y

Reorder the terms:
-7 + x2 = -1y2 + 6y

Reorder the terms:
-7 + x2 = 6y + -1y2

Solving
-7 + x2 = 6y + -1y2

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + x2 = 6y + 7 + -1y2

Combine like terms: -7 + 7 = 0
0 + x2 = 6y + 7 + -1y2
x2 = 6y + 7 + -1y2

Reorder the terms:
x2 = 7 + 6y + -1y2

Simplifying
x2 = 7 + 6y + -1y2

Reorder the terms:
-7 + x2 + -6y + y2 = 7 + 6y + -1y2 + -7 + -6y + y2

Reorder the terms:
-7 + x2 + -6y + y2 = 7 + -7 + 6y + -6y + -1y2 + y2

Combine like terms: 7 + -7 = 0
-7 + x2 + -6y + y2 = 0 + 6y + -6y + -1y2 + y2
-7 + x2 + -6y + y2 = 6y + -6y + -1y2 + y2

Combine like terms: 6y + -6y = 0
-7 + x2 + -6y + y2 = 0 + -1y2 + y2
-7 + x2 + -6y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-7 + x2 + -6y + y2 = 0

The solution to this equation could not be determined.

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