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