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Simplifying 4x(2y + 7z) = 0 (2y * 4x + 7z * 4x) = 0 (8xy + 28xz) = 0 Solving 8xy + 28xz = 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), '4x'. 4x(2y + 7z) = 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 '(2y + 7z)' equal to zero and attempt to solve: Simplifying 2y + 7z = 0 Solving 2y + 7z = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 2y + -2y + 7z = 0 + -2y Combine like terms: 2y + -2y = 0 0 + 7z = 0 + -2y 7z = 0 + -2y Remove the zero: 7z = -2y Add '-7z' to each side of the equation. 7z + -7z = -2y + -7z Combine like terms: 7z + -7z = 0 0 = -2y + -7z Simplifying 0 = -2y + -7z 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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