3*(x*x)+X*Y+2*Y*Z+21=0

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Solution for 3*(x*x)+X*Y+2*Y*Z+21=0 equation:


Simplifying
3(x * x) + X * Y + 2Y * Z + 21 = 0

Multiply x * x
3(x2) + X * Y + 2Y * Z + 21 = 0

Multiply X * Y
3x2 + XY + 2Y * Z + 21 = 0

Multiply Y * Z
3x2 + XY + 2YZ + 21 = 0

Reorder the terms:
21 + XY + 2YZ + 3x2 = 0

Solving
21 + XY + 2YZ + 3x2 = 0

Solving for variable 'X'.

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

Add '-21' to each side of the equation.
21 + XY + 2YZ + -21 + 3x2 = 0 + -21

Reorder the terms:
21 + -21 + XY + 2YZ + 3x2 = 0 + -21

Combine like terms: 21 + -21 = 0
0 + XY + 2YZ + 3x2 = 0 + -21
XY + 2YZ + 3x2 = 0 + -21

Combine like terms: 0 + -21 = -21
XY + 2YZ + 3x2 = -21

Add '-2YZ' to each side of the equation.
XY + 2YZ + -2YZ + 3x2 = -21 + -2YZ

Combine like terms: 2YZ + -2YZ = 0
XY + 0 + 3x2 = -21 + -2YZ
XY + 3x2 = -21 + -2YZ

Add '-3x2' to each side of the equation.
XY + 3x2 + -3x2 = -21 + -2YZ + -3x2

Combine like terms: 3x2 + -3x2 = 0
XY + 0 = -21 + -2YZ + -3x2
XY = -21 + -2YZ + -3x2

Divide each side by 'Y'.
X = -21Y-1 + -2Z + -3x2Y-1

Simplifying
X = -21Y-1 + -2Z + -3x2Y-1

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