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Simplifying 2x(x + 4y + z) = 0 (x * 2x + 4y * 2x + z * 2x) = 0 Reorder the terms: (8xy + 2xz + 2x2) = 0 (8xy + 2xz + 2x2) = 0 Solving 8xy + 2xz + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(4y + z + x) = 0 Ignore the factor 2.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 '(4y + z + x)' equal to zero and attempt to solve: Simplifying 4y + z + x = 0 Reorder the terms: x + 4y + z = 0 Solving x + 4y + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. x + 4y + -4y + z = 0 + -4y Combine like terms: 4y + -4y = 0 x + 0 + z = 0 + -4y x + z = 0 + -4y Remove the zero: x + z = -4y Add '-1z' to each side of the equation. x + z + -1z = -4y + -1z Combine like terms: z + -1z = 0 x + 0 = -4y + -1z x = -4y + -1z Simplifying x = -4y + -1zSolution
x = {0, -4y + -1z}
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