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