5x^2+16y^2=84

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Solution for 5x^2+16y^2=84 equation:


Simplifying
5x2 + 16y2 = 84

Solving
5x2 + 16y2 = 84

Solving for variable 'x'.

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

Add '-16y2' to each side of the equation.
5x2 + 16y2 + -16y2 = 84 + -16y2

Combine like terms: 16y2 + -16y2 = 0
5x2 + 0 = 84 + -16y2
5x2 = 84 + -16y2

Divide each side by '5'.
x2 = 16.8 + -3.2y2

Simplifying
x2 = 16.8 + -3.2y2

Reorder the terms:
-16.8 + x2 + 3.2y2 = 16.8 + -3.2y2 + -16.8 + 3.2y2

Reorder the terms:
-16.8 + x2 + 3.2y2 = 16.8 + -16.8 + -3.2y2 + 3.2y2

Combine like terms: 16.8 + -16.8 = 0.0
-16.8 + x2 + 3.2y2 = 0.0 + -3.2y2 + 3.2y2
-16.8 + x2 + 3.2y2 = -3.2y2 + 3.2y2

Combine like terms: -3.2y2 + 3.2y2 = 0.0
-16.8 + x2 + 3.2y2 = 0.0

The solution to this equation could not be determined.

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