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Simplifying 8x(x + 5y + z) = 0 (x * 8x + 5y * 8x + z * 8x) = 0 Reorder the terms: (40xy + 8xz + 8x2) = 0 (40xy + 8xz + 8x2) = 0 Solving 40xy + 8xz + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x'. 8x(5y + z + x) = 0 Ignore the factor 8.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 '(5y + z + x)' equal to zero and attempt to solve: Simplifying 5y + z + x = 0 Reorder the terms: x + 5y + z = 0 Solving x + 5y + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. x + 5y + -5y + z = 0 + -5y Combine like terms: 5y + -5y = 0 x + 0 + z = 0 + -5y x + z = 0 + -5y Remove the zero: x + z = -5y Add '-1z' to each side of the equation. x + z + -1z = -5y + -1z Combine like terms: z + -1z = 0 x + 0 = -5y + -1z x = -5y + -1z Simplifying x = -5y + -1zSolution
x = {0, -5y + -1z}
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