4x^2+9y^2-36z^2+16-36y=0

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Solution for 4x^2+9y^2-36z^2+16-36y=0 equation: 


Simplifying
4x2 + 9y2 + -36z2 + 16 + -36y = 0

Reorder the terms:
16 + 4x2 + -36y + 9y2 + -36z2 = 0

Solving
16 + 4x2 + -36y + 9y2 + -36z2 = 0

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + 4x2 + -36y + 9y2 + -16 + -36z2 = 0 + -16

Reorder the terms:
16 + -16 + 4x2 + -36y + 9y2 + -36z2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 4x2 + -36y + 9y2 + -36z2 = 0 + -16
4x2 + -36y + 9y2 + -36z2 = 0 + -16

Combine like terms: 0 + -16 = -16
4x2 + -36y + 9y2 + -36z2 = -16

Add '36y' to each side of the equation.
4x2 + -36y + 9y2 + 36y + -36z2 = -16 + 36y

Reorder the terms:
4x2 + -36y + 36y + 9y2 + -36z2 = -16 + 36y

Combine like terms: -36y + 36y = 0
4x2 + 0 + 9y2 + -36z2 = -16 + 36y
4x2 + 9y2 + -36z2 = -16 + 36y

Add '-9y2' to each side of the equation.
4x2 + 9y2 + -9y2 + -36z2 = -16 + 36y + -9y2

Combine like terms: 9y2 + -9y2 = 0
4x2 + 0 + -36z2 = -16 + 36y + -9y2
4x2 + -36z2 = -16 + 36y + -9y2

Add '36z2' to each side of the equation.
4x2 + -36z2 + 36z2 = -16 + 36y + -9y2 + 36z2

Combine like terms: -36z2 + 36z2 = 0
4x2 + 0 = -16 + 36y + -9y2 + 36z2
4x2 = -16 + 36y + -9y2 + 36z2

Divide each side by '4'.
x2 = -4 + 9y + -2.25y2 + 9z2

Simplifying
x2 = -4 + 9y + -2.25y2 + 9z2

Reorder the terms:
4 + x2 + -9y + 2.25y2 + -9z2 = -4 + 9y + -2.25y2 + 9z2 + 4 + -9y + 2.25y2 + -9z2

Reorder the terms:
4 + x2 + -9y + 2.25y2 + -9z2 = -4 + 4 + 9y + -9y + -2.25y2 + 2.25y2 + 9z2 + -9z2

Combine like terms: -4 + 4 = 0
4 + x2 + -9y + 2.25y2 + -9z2 = 0 + 9y + -9y + -2.25y2 + 2.25y2 + 9z2 + -9z2
4 + x2 + -9y + 2.25y2 + -9z2 = 9y + -9y + -2.25y2 + 2.25y2 + 9z2 + -9z2

Combine like terms: 9y + -9y = 0
4 + x2 + -9y + 2.25y2 + -9z2 = 0 + -2.25y2 + 2.25y2 + 9z2 + -9z2
4 + x2 + -9y + 2.25y2 + -9z2 = -2.25y2 + 2.25y2 + 9z2 + -9z2

Combine like terms: -2.25y2 + 2.25y2 = 0.00
4 + x2 + -9y + 2.25y2 + -9z2 = 0.00 + 9z2 + -9z2
4 + x2 + -9y + 2.25y2 + -9z2 = 9z2 + -9z2

Combine like terms: 9z2 + -9z2 = 0
4 + x2 + -9y + 2.25y2 + -9z2 = 0

The solution to this equation could not be determined.

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