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

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


Simplifying
4x2 + -1y2 + 25z2 = 100

Solving
4x2 + -1y2 + 25z2 = 100

Solving for variable 'x'.

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

Add 'y2' to each side of the equation.
4x2 + -1y2 + y2 + 25z2 = 100 + y2

Combine like terms: -1y2 + y2 = 0
4x2 + 0 + 25z2 = 100 + y2
4x2 + 25z2 = 100 + y2

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

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

Divide each side by '4'.
x2 = 25 + 0.25y2 + -6.25z2

Simplifying
x2 = 25 + 0.25y2 + -6.25z2

Reorder the terms:
-25 + x2 + -0.25y2 + 6.25z2 = 25 + 0.25y2 + -6.25z2 + -25 + -0.25y2 + 6.25z2

Reorder the terms:
-25 + x2 + -0.25y2 + 6.25z2 = 25 + -25 + 0.25y2 + -0.25y2 + -6.25z2 + 6.25z2

Combine like terms: 25 + -25 = 0
-25 + x2 + -0.25y2 + 6.25z2 = 0 + 0.25y2 + -0.25y2 + -6.25z2 + 6.25z2
-25 + x2 + -0.25y2 + 6.25z2 = 0.25y2 + -0.25y2 + -6.25z2 + 6.25z2

Combine like terms: 0.25y2 + -0.25y2 = 0.00
-25 + x2 + -0.25y2 + 6.25z2 = 0.00 + -6.25z2 + 6.25z2
-25 + x2 + -0.25y2 + 6.25z2 = -6.25z2 + 6.25z2

Combine like terms: -6.25z2 + 6.25z2 = 0.00
-25 + x2 + -0.25y2 + 6.25z2 = 0.00

The solution to this equation could not be determined.

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