5x^2+7y^2=3z^2

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Solution for 5x^2+7y^2=3z^2 equation:


Simplifying
5x2 + 7y2 = 3z2

Solving
5x2 + 7y2 = 3z2

Solving for variable 'x'.

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

Add '-7y2' to each side of the equation.
5x2 + 7y2 + -7y2 = -7y2 + 3z2

Combine like terms: 7y2 + -7y2 = 0
5x2 + 0 = -7y2 + 3z2
5x2 = -7y2 + 3z2

Divide each side by '5'.
x2 = -1.4y2 + 0.6z2

Simplifying
x2 = -1.4y2 + 0.6z2

Reorder the terms:
x2 + 1.4y2 + -0.6z2 = -1.4y2 + 1.4y2 + 0.6z2 + -0.6z2

Combine like terms: -1.4y2 + 1.4y2 = 0.0
x2 + 1.4y2 + -0.6z2 = 0.0 + 0.6z2 + -0.6z2
x2 + 1.4y2 + -0.6z2 = 0.6z2 + -0.6z2

Combine like terms: 0.6z2 + -0.6z2 = 0.0
x2 + 1.4y2 + -0.6z2 = 0.0

The solution to this equation could not be determined.

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