5x^2+8y^2-200=0

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Solution for 5x^2+8y^2-200=0 equation:


Simplifying
5x2 + 8y2 + -200 = 0

Reorder the terms:
-200 + 5x2 + 8y2 = 0

Solving
-200 + 5x2 + 8y2 = 0

Solving for variable 'x'.

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

Add '200' to each side of the equation.
-200 + 5x2 + 200 + 8y2 = 0 + 200

Reorder the terms:
-200 + 200 + 5x2 + 8y2 = 0 + 200

Combine like terms: -200 + 200 = 0
0 + 5x2 + 8y2 = 0 + 200
5x2 + 8y2 = 0 + 200

Combine like terms: 0 + 200 = 200
5x2 + 8y2 = 200

Add '-8y2' to each side of the equation.
5x2 + 8y2 + -8y2 = 200 + -8y2

Combine like terms: 8y2 + -8y2 = 0
5x2 + 0 = 200 + -8y2
5x2 = 200 + -8y2

Divide each side by '5'.
x2 = 40 + -1.6y2

Simplifying
x2 = 40 + -1.6y2

Reorder the terms:
-40 + x2 + 1.6y2 = 40 + -1.6y2 + -40 + 1.6y2

Reorder the terms:
-40 + x2 + 1.6y2 = 40 + -40 + -1.6y2 + 1.6y2

Combine like terms: 40 + -40 = 0
-40 + x2 + 1.6y2 = 0 + -1.6y2 + 1.6y2
-40 + x2 + 1.6y2 = -1.6y2 + 1.6y2

Combine like terms: -1.6y2 + 1.6y2 = 0.0
-40 + x2 + 1.6y2 = 0.0

The solution to this equation could not be determined.

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