4x^2+100y^2-25z^2=0

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Solution for 4x^2+100y^2-25z^2=0 equation:


Simplifying
4x2 + 100y2 + -25z2 = 0

Solving
4x2 + 100y2 + -25z2 = 0

Solving for variable 'x'.

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

Add '-100y2' to each side of the equation.
4x2 + 100y2 + -100y2 + -25z2 = 0 + -100y2

Combine like terms: 100y2 + -100y2 = 0
4x2 + 0 + -25z2 = 0 + -100y2
4x2 + -25z2 = 0 + -100y2
Remove the zero:
4x2 + -25z2 = -100y2

Add '25z2' to each side of the equation.
4x2 + -25z2 + 25z2 = -100y2 + 25z2

Combine like terms: -25z2 + 25z2 = 0
4x2 + 0 = -100y2 + 25z2
4x2 = -100y2 + 25z2

Divide each side by '4'.
x2 = -25y2 + 6.25z2

Simplifying
x2 = -25y2 + 6.25z2

Reorder the terms:
x2 + 25y2 + -6.25z2 = -25y2 + 25y2 + 6.25z2 + -6.25z2

Combine like terms: -25y2 + 25y2 = 0
x2 + 25y2 + -6.25z2 = 0 + 6.25z2 + -6.25z2
x2 + 25y2 + -6.25z2 = 6.25z2 + -6.25z2

Combine like terms: 6.25z2 + -6.25z2 = 0.00
x2 + 25y2 + -6.25z2 = 0.00

The solution to this equation could not be determined.

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