4x^2+4y^2+15-20y=0

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Solution for 4x^2+4y^2+15-20y=0 equation:


Simplifying
4x2 + 4y2 + 15 + -20y = 0

Reorder the terms:
15 + 4x2 + -20y + 4y2 = 0

Solving
15 + 4x2 + -20y + 4y2 = 0

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + 4x2 + -20y + -15 + 4y2 = 0 + -15

Reorder the terms:
15 + -15 + 4x2 + -20y + 4y2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 4x2 + -20y + 4y2 = 0 + -15
4x2 + -20y + 4y2 = 0 + -15

Combine like terms: 0 + -15 = -15
4x2 + -20y + 4y2 = -15

Add '20y' to each side of the equation.
4x2 + -20y + 20y + 4y2 = -15 + 20y

Combine like terms: -20y + 20y = 0
4x2 + 0 + 4y2 = -15 + 20y
4x2 + 4y2 = -15 + 20y

Add '-4y2' to each side of the equation.
4x2 + 4y2 + -4y2 = -15 + 20y + -4y2

Combine like terms: 4y2 + -4y2 = 0
4x2 + 0 = -15 + 20y + -4y2
4x2 = -15 + 20y + -4y2

Divide each side by '4'.
x2 = -3.75 + 5y + -1y2

Simplifying
x2 = -3.75 + 5y + -1y2

Reorder the terms:
3.75 + x2 + -5y + y2 = -3.75 + 5y + -1y2 + 3.75 + -5y + y2

Reorder the terms:
3.75 + x2 + -5y + y2 = -3.75 + 3.75 + 5y + -5y + -1y2 + y2

Combine like terms: -3.75 + 3.75 = 0.00
3.75 + x2 + -5y + y2 = 0.00 + 5y + -5y + -1y2 + y2
3.75 + x2 + -5y + y2 = 5y + -5y + -1y2 + y2

Combine like terms: 5y + -5y = 0
3.75 + x2 + -5y + y2 = 0 + -1y2 + y2
3.75 + x2 + -5y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
3.75 + x2 + -5y + y2 = 0

The solution to this equation could not be determined.

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