5y^2+z^2-x-20y-4z+24=0

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Solution for 5y^2+z^2-x-20y-4z+24=0 equation:


Simplifying
5y2 + z2 + -1x + -20y + -4z + 24 = 0

Reorder the terms:
24 + -1x + -20y + 5y2 + -4z + z2 = 0

Solving
24 + -1x + -20y + 5y2 + -4z + z2 = 0

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -1x + -20y + 5y2 + -4z + -24 + z2 = 0 + -24

Reorder the terms:
24 + -24 + -1x + -20y + 5y2 + -4z + z2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1x + -20y + 5y2 + -4z + z2 = 0 + -24
-1x + -20y + 5y2 + -4z + z2 = 0 + -24

Combine like terms: 0 + -24 = -24
-1x + -20y + 5y2 + -4z + z2 = -24

Add '20y' to each side of the equation.
-1x + -20y + 5y2 + -4z + 20y + z2 = -24 + 20y

Reorder the terms:
-1x + -20y + 20y + 5y2 + -4z + z2 = -24 + 20y

Combine like terms: -20y + 20y = 0
-1x + 0 + 5y2 + -4z + z2 = -24 + 20y
-1x + 5y2 + -4z + z2 = -24 + 20y

Add '-5y2' to each side of the equation.
-1x + 5y2 + -4z + -5y2 + z2 = -24 + 20y + -5y2

Reorder the terms:
-1x + 5y2 + -5y2 + -4z + z2 = -24 + 20y + -5y2

Combine like terms: 5y2 + -5y2 = 0
-1x + 0 + -4z + z2 = -24 + 20y + -5y2
-1x + -4z + z2 = -24 + 20y + -5y2

Add '4z' to each side of the equation.
-1x + -4z + 4z + z2 = -24 + 20y + -5y2 + 4z

Combine like terms: -4z + 4z = 0
-1x + 0 + z2 = -24 + 20y + -5y2 + 4z
-1x + z2 = -24 + 20y + -5y2 + 4z

Add '-1z2' to each side of the equation.
-1x + z2 + -1z2 = -24 + 20y + -5y2 + 4z + -1z2

Combine like terms: z2 + -1z2 = 0
-1x + 0 = -24 + 20y + -5y2 + 4z + -1z2
-1x = -24 + 20y + -5y2 + 4z + -1z2

Divide each side by '-1'.
x = 24 + -20y + 5y2 + -4z + z2

Simplifying
x = 24 + -20y + 5y2 + -4z + z2

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