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Simplifying 5ab + 10ac + 20az = 0 Solving 5ab + 10ac + 20az = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '5a'. 5a(b + 2c + 4z) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(b + 2c + 4z)' equal to zero and attempt to solve: Simplifying b + 2c + 4z = 0 Solving b + 2c + 4z = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + 2c + -1b + 4z = 0 + -1b Reorder the terms: b + -1b + 2c + 4z = 0 + -1b Combine like terms: b + -1b = 0 0 + 2c + 4z = 0 + -1b 2c + 4z = 0 + -1b Remove the zero: 2c + 4z = -1b Add '-2c' to each side of the equation. 2c + -2c + 4z = -1b + -2c Combine like terms: 2c + -2c = 0 0 + 4z = -1b + -2c 4z = -1b + -2c Add '-4z' to each side of the equation. 4z + -4z = -1b + -2c + -4z Combine like terms: 4z + -4z = 0 0 = -1b + -2c + -4z Simplifying 0 = -1b + -2c + -4z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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