7x^2-28x+4Y^2-8y=-2

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Solution for 7x^2-28x+4Y^2-8y=-2 equation: 


Simplifying
7x2 + -28x + 4Y2 + -8y = -2

Reorder the terms:
4Y2 + -28x + 7x2 + -8y = -2

Solving
4Y2 + -28x + 7x2 + -8y = -2

Solving for variable 'Y'.

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

Add '28x' to each side of the equation.
4Y2 + -28x + 7x2 + 28x + -8y = -2 + 28x

Reorder the terms:
4Y2 + -28x + 28x + 7x2 + -8y = -2 + 28x

Combine like terms: -28x + 28x = 0
4Y2 + 0 + 7x2 + -8y = -2 + 28x
4Y2 + 7x2 + -8y = -2 + 28x

Add '-7x2' to each side of the equation.
4Y2 + 7x2 + -7x2 + -8y = -2 + 28x + -7x2

Combine like terms: 7x2 + -7x2 = 0
4Y2 + 0 + -8y = -2 + 28x + -7x2
4Y2 + -8y = -2 + 28x + -7x2

Add '8y' to each side of the equation.
4Y2 + -8y + 8y = -2 + 28x + -7x2 + 8y

Combine like terms: -8y + 8y = 0
4Y2 + 0 = -2 + 28x + -7x2 + 8y
4Y2 = -2 + 28x + -7x2 + 8y

Divide each side by '4'.
Y2 = -0.5 + 7x + -1.75x2 + 2y

Simplifying
Y2 = -0.5 + 7x + -1.75x2 + 2y

Reorder the terms:
0.5 + Y2 + -7x + 1.75x2 + -2y = -0.5 + 7x + -1.75x2 + 2y + 0.5 + -7x + 1.75x2 + -2y

Reorder the terms:
0.5 + Y2 + -7x + 1.75x2 + -2y = -0.5 + 0.5 + 7x + -7x + -1.75x2 + 1.75x2 + 2y + -2y

Combine like terms: -0.5 + 0.5 = 0.0
0.5 + Y2 + -7x + 1.75x2 + -2y = 0.0 + 7x + -7x + -1.75x2 + 1.75x2 + 2y + -2y
0.5 + Y2 + -7x + 1.75x2 + -2y = 7x + -7x + -1.75x2 + 1.75x2 + 2y + -2y

Combine like terms: 7x + -7x = 0
0.5 + Y2 + -7x + 1.75x2 + -2y = 0 + -1.75x2 + 1.75x2 + 2y + -2y
0.5 + Y2 + -7x + 1.75x2 + -2y = -1.75x2 + 1.75x2 + 2y + -2y

Combine like terms: -1.75x2 + 1.75x2 = 0.00
0.5 + Y2 + -7x + 1.75x2 + -2y = 0.00 + 2y + -2y
0.5 + Y2 + -7x + 1.75x2 + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
0.5 + Y2 + -7x + 1.75x2 + -2y = 0

The solution to this equation could not be determined.

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