x+48((yx^2)-2)=20

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Solution for x+48((yx^2)-2)=20 equation:


Simplifying
x + 48((yx2) + -2) = 20
x + 48(x2y + -2) = 20

Reorder the terms:
x + 48(-2 + x2y) = 20
x + (-2 * 48 + x2y * 48) = 20
x + (-96 + 48x2y) = 20

Reorder the terms:
-96 + x + 48x2y = 20

Solving
-96 + x + 48x2y = 20

Solving for variable 'x'.

Reorder the terms:
-96 + -20 + x + 48x2y = 20 + -20

Combine like terms: -96 + -20 = -116
-116 + x + 48x2y = 20 + -20

Combine like terms: 20 + -20 = 0
-116 + x + 48x2y = 0

Begin completing the square.  Divide all terms by
48y the coefficient of the squared term: 

Divide each side by '48y'.
-2.416666667y-1 + 0.02083333333xy-1 + x2 = 0y-1

Move the constant term to the right:

Add '2.416666667' to each side of the equation.
-2.416666667y-1 + 0.02083333333xy-1 + 2.416666667 + x2 = 2.416666667 + 0y-1

Reorder the terms:
2.416666667 + 0.02083333333xy-1 + x2 + -2.416666667y-1 = 2.416666667 + 0y-1

Combine like terms: 2.416666667 + 0 = 2.416666667
2.416666667 + 0.02083333333xy-1 + x2 + -2.416666667y-1 = 2.416666667

The x term is xy-1.  Take half its coefficient (0.5y-1).
Square it (0.25y-2) and add it to both sides.

Add '0.25y-2' to each side of the equation.
2.416666667 + 0.02083333333xy-1 + x2 + 0.25y-2 + -2.416666667y-1 = 2.416666667 + 0.25y-2

Factor a perfect square on the left side:
(x + 0.5y-1)(x + 0.5y-1) = 2.416666667 + 0.25y-2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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