5x^2+3y^2-8=0

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Solution for 5x^2+3y^2-8=0 equation:


Simplifying
5x2 + 3y2 + -8 = 0

Reorder the terms:
-8 + 5x2 + 3y2 = 0

Solving
-8 + 5x2 + 3y2 = 0

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 5x2 + 8 + 3y2 = 0 + 8

Reorder the terms:
-8 + 8 + 5x2 + 3y2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 5x2 + 3y2 = 0 + 8
5x2 + 3y2 = 0 + 8

Combine like terms: 0 + 8 = 8
5x2 + 3y2 = 8

Add '-3y2' to each side of the equation.
5x2 + 3y2 + -3y2 = 8 + -3y2

Combine like terms: 3y2 + -3y2 = 0
5x2 + 0 = 8 + -3y2
5x2 = 8 + -3y2

Divide each side by '5'.
x2 = 1.6 + -0.6y2

Simplifying
x2 = 1.6 + -0.6y2

Reorder the terms:
-1.6 + x2 + 0.6y2 = 1.6 + -0.6y2 + -1.6 + 0.6y2

Reorder the terms:
-1.6 + x2 + 0.6y2 = 1.6 + -1.6 + -0.6y2 + 0.6y2

Combine like terms: 1.6 + -1.6 = 0.0
-1.6 + x2 + 0.6y2 = 0.0 + -0.6y2 + 0.6y2
-1.6 + x2 + 0.6y2 = -0.6y2 + 0.6y2

Combine like terms: -0.6y2 + 0.6y2 = 0.0
-1.6 + x2 + 0.6y2 = 0.0

The solution to this equation could not be determined.

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