5x^2-4y^2-20=0

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Solution for 5x^2-4y^2-20=0 equation:


Simplifying
5x2 + -4y2 + -20 = 0

Reorder the terms:
-20 + 5x2 + -4y2 = 0

Solving
-20 + 5x2 + -4y2 = 0

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 5x2 + 20 + -4y2 = 0 + 20

Reorder the terms:
-20 + 20 + 5x2 + -4y2 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 5x2 + -4y2 = 0 + 20
5x2 + -4y2 = 0 + 20

Combine like terms: 0 + 20 = 20
5x2 + -4y2 = 20

Add '4y2' to each side of the equation.
5x2 + -4y2 + 4y2 = 20 + 4y2

Combine like terms: -4y2 + 4y2 = 0
5x2 + 0 = 20 + 4y2
5x2 = 20 + 4y2

Divide each side by '5'.
x2 = 4 + 0.8y2

Simplifying
x2 = 4 + 0.8y2

Reorder the terms:
-4 + x2 + -0.8y2 = 4 + 0.8y2 + -4 + -0.8y2

Reorder the terms:
-4 + x2 + -0.8y2 = 4 + -4 + 0.8y2 + -0.8y2

Combine like terms: 4 + -4 = 0
-4 + x2 + -0.8y2 = 0 + 0.8y2 + -0.8y2
-4 + x2 + -0.8y2 = 0.8y2 + -0.8y2

Combine like terms: 0.8y2 + -0.8y2 = 0.0
-4 + x2 + -0.8y2 = 0.0

The solution to this equation could not be determined.

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