4x^2+3z^2-4y+12z+12=0

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Solution for 4x^2+3z^2-4y+12z+12=0 equation: 


Simplifying
4x2 + 3z2 + -4y + 12z + 12 = 0

Reorder the terms:
12 + 4x2 + -4y + 12z + 3z2 = 0

Solving
12 + 4x2 + -4y + 12z + 3z2 = 0

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + 4x2 + -4y + 12z + -12 + 3z2 = 0 + -12

Reorder the terms:
12 + -12 + 4x2 + -4y + 12z + 3z2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 4x2 + -4y + 12z + 3z2 = 0 + -12
4x2 + -4y + 12z + 3z2 = 0 + -12

Combine like terms: 0 + -12 = -12
4x2 + -4y + 12z + 3z2 = -12

Add '4y' to each side of the equation.
4x2 + -4y + 12z + 4y + 3z2 = -12 + 4y

Reorder the terms:
4x2 + -4y + 4y + 12z + 3z2 = -12 + 4y

Combine like terms: -4y + 4y = 0
4x2 + 0 + 12z + 3z2 = -12 + 4y
4x2 + 12z + 3z2 = -12 + 4y

Add '-12z' to each side of the equation.
4x2 + 12z + -12z + 3z2 = -12 + 4y + -12z

Combine like terms: 12z + -12z = 0
4x2 + 0 + 3z2 = -12 + 4y + -12z
4x2 + 3z2 = -12 + 4y + -12z

Add '-3z2' to each side of the equation.
4x2 + 3z2 + -3z2 = -12 + 4y + -12z + -3z2

Combine like terms: 3z2 + -3z2 = 0
4x2 + 0 = -12 + 4y + -12z + -3z2
4x2 = -12 + 4y + -12z + -3z2

Divide each side by '4'.
x2 = -3 + y + -3z + -0.75z2

Simplifying
x2 = -3 + y + -3z + -0.75z2

Reorder the terms:
3 + x2 + -1y + 3z + 0.75z2 = -3 + y + -3z + -0.75z2 + 3 + -1y + 3z + 0.75z2

Reorder the terms:
3 + x2 + -1y + 3z + 0.75z2 = -3 + 3 + y + -1y + -3z + 3z + -0.75z2 + 0.75z2

Combine like terms: -3 + 3 = 0
3 + x2 + -1y + 3z + 0.75z2 = 0 + y + -1y + -3z + 3z + -0.75z2 + 0.75z2
3 + x2 + -1y + 3z + 0.75z2 = y + -1y + -3z + 3z + -0.75z2 + 0.75z2

Combine like terms: y + -1y = 0
3 + x2 + -1y + 3z + 0.75z2 = 0 + -3z + 3z + -0.75z2 + 0.75z2
3 + x2 + -1y + 3z + 0.75z2 = -3z + 3z + -0.75z2 + 0.75z2

Combine like terms: -3z + 3z = 0
3 + x2 + -1y + 3z + 0.75z2 = 0 + -0.75z2 + 0.75z2
3 + x2 + -1y + 3z + 0.75z2 = -0.75z2 + 0.75z2

Combine like terms: -0.75z2 + 0.75z2 = 0.00
3 + x2 + -1y + 3z + 0.75z2 = 0.00

The solution to this equation could not be determined.

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