4y^2+5x^2=10

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Solution for 4y^2+5x^2=10 equation:


Simplifying
4y2 + 5x2 = 10

Reorder the terms:
5x2 + 4y2 = 10

Solving
5x2 + 4y2 = 10

Solving for variable 'x'.

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

Add '-4y2' to each side of the equation.
5x2 + 4y2 + -4y2 = 10 + -4y2

Combine like terms: 4y2 + -4y2 = 0
5x2 + 0 = 10 + -4y2
5x2 = 10 + -4y2

Divide each side by '5'.
x2 = 2 + -0.8y2

Simplifying
x2 = 2 + -0.8y2

Reorder the terms:
-2 + x2 + 0.8y2 = 2 + -0.8y2 + -2 + 0.8y2

Reorder the terms:
-2 + x2 + 0.8y2 = 2 + -2 + -0.8y2 + 0.8y2

Combine like terms: 2 + -2 = 0
-2 + x2 + 0.8y2 = 0 + -0.8y2 + 0.8y2
-2 + x2 + 0.8y2 = -0.8y2 + 0.8y2

Combine like terms: -0.8y2 + 0.8y2 = 0.0
-2 + x2 + 0.8y2 = 0.0

The solution to this equation could not be determined.

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