2x^2+y^2-7y+30=0

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Solution for 2x^2+y^2-7y+30=0 equation: 


Simplifying
2x2 + y2 + -7y + 30 = 0

Reorder the terms:
30 + 2x2 + -7y + y2 = 0

Solving
30 + 2x2 + -7y + y2 = 0

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + 2x2 + -7y + -30 + y2 = 0 + -30

Reorder the terms:
30 + -30 + 2x2 + -7y + y2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + 2x2 + -7y + y2 = 0 + -30
2x2 + -7y + y2 = 0 + -30

Combine like terms: 0 + -30 = -30
2x2 + -7y + y2 = -30

Add '7y' to each side of the equation.
2x2 + -7y + 7y + y2 = -30 + 7y

Combine like terms: -7y + 7y = 0
2x2 + 0 + y2 = -30 + 7y
2x2 + y2 = -30 + 7y

Add '-1y2' to each side of the equation.
2x2 + y2 + -1y2 = -30 + 7y + -1y2

Combine like terms: y2 + -1y2 = 0
2x2 + 0 = -30 + 7y + -1y2
2x2 = -30 + 7y + -1y2

Divide each side by '2'.
x2 = -15 + 3.5y + -0.5y2

Simplifying
x2 = -15 + 3.5y + -0.5y2

Reorder the terms:
15 + x2 + -3.5y + 0.5y2 = -15 + 3.5y + -0.5y2 + 15 + -3.5y + 0.5y2

Reorder the terms:
15 + x2 + -3.5y + 0.5y2 = -15 + 15 + 3.5y + -3.5y + -0.5y2 + 0.5y2

Combine like terms: -15 + 15 = 0
15 + x2 + -3.5y + 0.5y2 = 0 + 3.5y + -3.5y + -0.5y2 + 0.5y2
15 + x2 + -3.5y + 0.5y2 = 3.5y + -3.5y + -0.5y2 + 0.5y2

Combine like terms: 3.5y + -3.5y = 0.0
15 + x2 + -3.5y + 0.5y2 = 0.0 + -0.5y2 + 0.5y2
15 + x2 + -3.5y + 0.5y2 = -0.5y2 + 0.5y2

Combine like terms: -0.5y2 + 0.5y2 = 0.0
15 + x2 + -3.5y + 0.5y2 = 0.0

The solution to this equation could not be determined.

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