y^2-4x^2=19

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Solution for y^2-4x^2=19 equation:


Simplifying
y2 + -4x2 = 19

Reorder the terms:
-4x2 + y2 = 19

Solving
-4x2 + y2 = 19

Solving for variable 'x'.

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

Add '-1y2' to each side of the equation.
-4x2 + y2 + -1y2 = 19 + -1y2

Combine like terms: y2 + -1y2 = 0
-4x2 + 0 = 19 + -1y2
-4x2 = 19 + -1y2

Divide each side by '-4'.
x2 = -4.75 + 0.25y2

Simplifying
x2 = -4.75 + 0.25y2

Reorder the terms:
4.75 + x2 + -0.25y2 = -4.75 + 0.25y2 + 4.75 + -0.25y2

Reorder the terms:
4.75 + x2 + -0.25y2 = -4.75 + 4.75 + 0.25y2 + -0.25y2

Combine like terms: -4.75 + 4.75 = 0.00
4.75 + x2 + -0.25y2 = 0.00 + 0.25y2 + -0.25y2
4.75 + x2 + -0.25y2 = 0.25y2 + -0.25y2

Combine like terms: 0.25y2 + -0.25y2 = 0.00
4.75 + x2 + -0.25y2 = 0.00

The solution to this equation could not be determined.

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