5x^2-y^2-25=0

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Solution for 5x^2-y^2-25=0 equation:


Simplifying
5x2 + -1y2 + -25 = 0

Reorder the terms:
-25 + 5x2 + -1y2 = 0

Solving
-25 + 5x2 + -1y2 = 0

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 5x2 + 25 + -1y2 = 0 + 25

Reorder the terms:
-25 + 25 + 5x2 + -1y2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 5x2 + -1y2 = 0 + 25
5x2 + -1y2 = 0 + 25

Combine like terms: 0 + 25 = 25
5x2 + -1y2 = 25

Add 'y2' to each side of the equation.
5x2 + -1y2 + y2 = 25 + y2

Combine like terms: -1y2 + y2 = 0
5x2 + 0 = 25 + y2
5x2 = 25 + y2

Divide each side by '5'.
x2 = 5 + 0.2y2

Simplifying
x2 = 5 + 0.2y2

Reorder the terms:
-5 + x2 + -0.2y2 = 5 + 0.2y2 + -5 + -0.2y2

Reorder the terms:
-5 + x2 + -0.2y2 = 5 + -5 + 0.2y2 + -0.2y2

Combine like terms: 5 + -5 = 0
-5 + x2 + -0.2y2 = 0 + 0.2y2 + -0.2y2
-5 + x2 + -0.2y2 = 0.2y2 + -0.2y2

Combine like terms: 0.2y2 + -0.2y2 = 0.0
-5 + x2 + -0.2y2 = 0.0

The solution to this equation could not be determined.

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