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Simplifying 4x(x + 4y + 2z) = 0 (x * 4x + 4y * 4x + 2z * 4x) = 0 Reorder the terms: (16xy + 8xz + 4x2) = 0 (16xy + 8xz + 4x2) = 0 Solving 16xy + 8xz + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(4y + 2z + x) = 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 '(4y + 2z + x)' equal to zero and attempt to solve: Simplifying 4y + 2z + x = 0 Reorder the terms: x + 4y + 2z = 0 Solving x + 4y + 2z = 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 + 2z = 0 + -4y Combine like terms: 4y + -4y = 0 x + 0 + 2z = 0 + -4y x + 2z = 0 + -4y Remove the zero: x + 2z = -4y Add '-2z' to each side of the equation. x + 2z + -2z = -4y + -2z Combine like terms: 2z + -2z = 0 x + 0 = -4y + -2z x = -4y + -2z Simplifying x = -4y + -2zSolution
x = {0, -4y + -2z}
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