2(x*x)-3(y*y)=23

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Solution for 2(x*x)-3(y*y)=23 equation:


Simplifying
2(x * x) + -3(y * y) = 23

Multiply x * x
2(x2) + -3(y * y) = 23

Multiply y * y
2x2 + -3(y2) = 23

Solving
2x2 + -3y2 = 23

Solving for variable 'x'.

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

Add '3y2' to each side of the equation.
2x2 + -3y2 + 3y2 = 23 + 3y2

Combine like terms: -3y2 + 3y2 = 0
2x2 + 0 = 23 + 3y2
2x2 = 23 + 3y2

Divide each side by '2'.
x2 = 11.5 + 1.5y2

Simplifying
x2 = 11.5 + 1.5y2

Reorder the terms:
-11.5 + x2 + -1.5y2 = 11.5 + 1.5y2 + -11.5 + -1.5y2

Reorder the terms:
-11.5 + x2 + -1.5y2 = 11.5 + -11.5 + 1.5y2 + -1.5y2

Combine like terms: 11.5 + -11.5 = 0.0
-11.5 + x2 + -1.5y2 = 0.0 + 1.5y2 + -1.5y2
-11.5 + x2 + -1.5y2 = 1.5y2 + -1.5y2

Combine like terms: 1.5y2 + -1.5y2 = 0.0
-11.5 + x2 + -1.5y2 = 0.0

The solution to this equation could not be determined.

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