10y^2-25x^2=100

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Solution for 10y^2-25x^2=100 equation:


Simplifying
10y2 + -25x2 = 100

Reorder the terms:
-25x2 + 10y2 = 100

Solving
-25x2 + 10y2 = 100

Solving for variable 'x'.

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

Add '-10y2' to each side of the equation.
-25x2 + 10y2 + -10y2 = 100 + -10y2

Combine like terms: 10y2 + -10y2 = 0
-25x2 + 0 = 100 + -10y2
-25x2 = 100 + -10y2

Divide each side by '-25'.
x2 = -4 + 0.4y2

Simplifying
x2 = -4 + 0.4y2

Reorder the terms:
4 + x2 + -0.4y2 = -4 + 0.4y2 + 4 + -0.4y2

Reorder the terms:
4 + x2 + -0.4y2 = -4 + 4 + 0.4y2 + -0.4y2

Combine like terms: -4 + 4 = 0
4 + x2 + -0.4y2 = 0 + 0.4y2 + -0.4y2
4 + x2 + -0.4y2 = 0.4y2 + -0.4y2

Combine like terms: 0.4y2 + -0.4y2 = 0.0
4 + x2 + -0.4y2 = 0.0

The solution to this equation could not be determined.

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