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Simplifying (8y + z) * 6x = 0 Reorder the terms for easier multiplication: 6x(8y + z) = 0 (8y * 6x + z * 6x) = 0 (48xy + 6xz) = 0 Solving 48xy + 6xz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '6x'. 6x(8y + z) = 0 Ignore the factor 6.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 '(8y + z)' equal to zero and attempt to solve: Simplifying 8y + z = 0 Solving 8y + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 8y + -8y + z = 0 + -8y Combine like terms: 8y + -8y = 0 0 + z = 0 + -8y z = 0 + -8y Remove the zero: z = -8y Add '-1z' to each side of the equation. z + -1z = -8y + -1z Combine like terms: z + -1z = 0 0 = -8y + -1z Simplifying 0 = -8y + -1z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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