7x^2+3y^2+28y-6y+10=0

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Solution for 7x^2+3y^2+28y-6y+10=0 equation: 


Simplifying
7x2 + 3y2 + 28y + -6y + 10 = 0

Reorder the terms:
10 + 7x2 + 28y + -6y + 3y2 = 0

Combine like terms: 28y + -6y = 22y
10 + 7x2 + 22y + 3y2 = 0

Solving
10 + 7x2 + 22y + 3y2 = 0

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + 7x2 + 22y + -10 + 3y2 = 0 + -10

Reorder the terms:
10 + -10 + 7x2 + 22y + 3y2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 7x2 + 22y + 3y2 = 0 + -10
7x2 + 22y + 3y2 = 0 + -10

Combine like terms: 0 + -10 = -10
7x2 + 22y + 3y2 = -10

Add '-22y' to each side of the equation.
7x2 + 22y + -22y + 3y2 = -10 + -22y

Combine like terms: 22y + -22y = 0
7x2 + 0 + 3y2 = -10 + -22y
7x2 + 3y2 = -10 + -22y

Add '-3y2' to each side of the equation.
7x2 + 3y2 + -3y2 = -10 + -22y + -3y2

Combine like terms: 3y2 + -3y2 = 0
7x2 + 0 = -10 + -22y + -3y2
7x2 = -10 + -22y + -3y2

Divide each side by '7'.
x2 = -1.428571429 + -3.142857143y + -0.4285714286y2

Simplifying
x2 = -1.428571429 + -3.142857143y + -0.4285714286y2

Reorder the terms:
1.428571429 + x2 + 3.142857143y + 0.4285714286y2 = -1.428571429 + -3.142857143y + -0.4285714286y2 + 1.428571429 + 3.142857143y + 0.4285714286y2

Reorder the terms:
1.428571429 + x2 + 3.142857143y + 0.4285714286y2 = -1.428571429 + 1.428571429 + -3.142857143y + 3.142857143y + -0.4285714286y2 + 0.4285714286y2

Combine like terms: -1.428571429 + 1.428571429 = 0.000000000
1.428571429 + x2 + 3.142857143y + 0.4285714286y2 = 0.000000000 + -3.142857143y + 3.142857143y + -0.4285714286y2 + 0.4285714286y2
1.428571429 + x2 + 3.142857143y + 0.4285714286y2 = -3.142857143y + 3.142857143y + -0.4285714286y2 + 0.4285714286y2

Combine like terms: -3.142857143y + 3.142857143y = 0.000000000
1.428571429 + x2 + 3.142857143y + 0.4285714286y2 = 0.000000000 + -0.4285714286y2 + 0.4285714286y2
1.428571429 + x2 + 3.142857143y + 0.4285714286y2 = -0.4285714286y2 + 0.4285714286y2

Combine like terms: -0.4285714286y2 + 0.4285714286y2 = 0.0000000000
1.428571429 + x2 + 3.142857143y + 0.4285714286y2 = 0.0000000000

The solution to this equation could not be determined.

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