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