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

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


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

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

Solving for variable 'x'.

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

Add '-5y2' to each side of the equation.
3x2 + 5y2 + -5y2 + -7z2 = 0 + -5y2

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

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

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

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

Simplifying
x2 = -1.666666667y2 + 2.333333333z2

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

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

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

The solution to this equation could not be determined.

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