3x^2+7y^2-5z^2=0

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Solution for 3x^2+7y^2-5z^2=0 equation: 


Simplifying
3x2 + 7y2 + -5z2 = 0

Solving
3x2 + 7y2 + -5z2 = 0

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.
3x2 + 7y2 + -7y2 + -5z2 = 0 + -7y2

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

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

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

Divide each side by '3'.
x2 = -2.333333333y2 + 1.666666667z2

Simplifying
x2 = -2.333333333y2 + 1.666666667z2

Reorder the terms:
x2 + 2.333333333y2 + -1.666666667z2 = -2.333333333y2 + 2.333333333y2 + 1.666666667z2 + -1.666666667z2

Combine like terms: -2.333333333y2 + 2.333333333y2 = 0.000000000
x2 + 2.333333333y2 + -1.666666667z2 = 0.000000000 + 1.666666667z2 + -1.666666667z2
x2 + 2.333333333y2 + -1.666666667z2 = 1.666666667z2 + -1.666666667z2

Combine like terms: 1.666666667z2 + -1.666666667z2 = 0.000000000
x2 + 2.333333333y2 + -1.666666667z2 = 0.000000000

The solution to this equation could not be determined.

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