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Simplifying 16xy + 4xz + 12x = 0 Reorder the terms: 12x + 16xy + 4xz = 0 Solving 12x + 16xy + 4xz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '4x'. 4x(3 + 4y + z) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(3 + 4y + z)' equal to zero and attempt to solve: Simplifying 3 + 4y + z = 0 Solving 3 + 4y + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 4y + -3 + z = 0 + -3 Reorder the terms: 3 + -3 + 4y + z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4y + z = 0 + -3 4y + z = 0 + -3 Combine like terms: 0 + -3 = -3 4y + z = -3 Add '-4y' to each side of the equation. 4y + -4y + z = -3 + -4y Combine like terms: 4y + -4y = 0 0 + z = -3 + -4y z = -3 + -4y Add '-1z' to each side of the equation. z + -1z = -3 + -4y + -1z Combine like terms: z + -1z = 0 0 = -3 + -4y + -1z Simplifying 0 = -3 + -4y + -1z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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