10x^2-y^2=100

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Solution for 10x^2-y^2=100 equation: 


Simplifying
10x2 + -1y2 = 100

Solving
10x2 + -1y2 = 100

Solving for variable 'x'.

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

Add 'y2' to each side of the equation.
10x2 + -1y2 + y2 = 100 + y2

Combine like terms: -1y2 + y2 = 0
10x2 + 0 = 100 + y2
10x2 = 100 + y2

Divide each side by '10'.
x2 = 10 + 0.1y2

Simplifying
x2 = 10 + 0.1y2

Reorder the terms:
-10 + x2 + -0.1y2 = 10 + 0.1y2 + -10 + -0.1y2

Reorder the terms:
-10 + x2 + -0.1y2 = 10 + -10 + 0.1y2 + -0.1y2

Combine like terms: 10 + -10 = 0
-10 + x2 + -0.1y2 = 0 + 0.1y2 + -0.1y2
-10 + x2 + -0.1y2 = 0.1y2 + -0.1y2

Combine like terms: 0.1y2 + -0.1y2 = 0.0
-10 + x2 + -0.1y2 = 0.0

The solution to this equation could not be determined.

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