4x^2yz+2xy^2z+2xyz=

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Solution for 4x^2yz+2xy^2z+2xyz= equation:


Simplifying
4x2yz + 2xy2z + 2xyz = 0

Reorder the terms:
2xyz + 2xy2z + 4x2yz = 0

Solving
2xyz + 2xy2z + 4x2yz = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2xyz'.
2xyz(1 + y + 2x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'xyz' equal to zero and attempt to solve: Simplifying xyz = 0 Solving xyz = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xyz = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + y + 2x)' equal to zero and attempt to solve: Simplifying 1 + y + 2x = 0 Reorder the terms: 1 + 2x + y = 0 Solving 1 + 2x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2x + -1 + y = 0 + -1 Reorder the terms: 1 + -1 + 2x + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x + y = 0 + -1 2x + y = 0 + -1 Combine like terms: 0 + -1 = -1 2x + y = -1 Add '-1y' to each side of the equation. 2x + y + -1y = -1 + -1y Combine like terms: y + -1y = 0 2x + 0 = -1 + -1y 2x = -1 + -1y Divide each side by '2'. x = -0.5 + -0.5y Simplifying x = -0.5 + -0.5y

Solution

x = {-0.5 + -0.5y}

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