5x^2-2y^2-40=0

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Solution for 5x^2-2y^2-40=0 equation:


Simplifying
5x2 + -2y2 + -40 = 0

Reorder the terms:
-40 + 5x2 + -2y2 = 0

Solving
-40 + 5x2 + -2y2 = 0

Solving for variable 'x'.

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

Add '40' to each side of the equation.
-40 + 5x2 + 40 + -2y2 = 0 + 40

Reorder the terms:
-40 + 40 + 5x2 + -2y2 = 0 + 40

Combine like terms: -40 + 40 = 0
0 + 5x2 + -2y2 = 0 + 40
5x2 + -2y2 = 0 + 40

Combine like terms: 0 + 40 = 40
5x2 + -2y2 = 40

Add '2y2' to each side of the equation.
5x2 + -2y2 + 2y2 = 40 + 2y2

Combine like terms: -2y2 + 2y2 = 0
5x2 + 0 = 40 + 2y2
5x2 = 40 + 2y2

Divide each side by '5'.
x2 = 8 + 0.4y2

Simplifying
x2 = 8 + 0.4y2

Reorder the terms:
-8 + x2 + -0.4y2 = 8 + 0.4y2 + -8 + -0.4y2

Reorder the terms:
-8 + x2 + -0.4y2 = 8 + -8 + 0.4y2 + -0.4y2

Combine like terms: 8 + -8 = 0
-8 + x2 + -0.4y2 = 0 + 0.4y2 + -0.4y2
-8 + x2 + -0.4y2 = 0.4y2 + -0.4y2

Combine like terms: 0.4y2 + -0.4y2 = 0.0
-8 + x2 + -0.4y2 = 0.0

The solution to this equation could not be determined.

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