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Simplifying 16a + -5ax = 3ax Solving 16a + -5ax = 3ax Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3ax' to each side of the equation. 16a + -5ax + -3ax = 3ax + -3ax Combine like terms: -5ax + -3ax = -8ax 16a + -8ax = 3ax + -3ax Combine like terms: 3ax + -3ax = 0 16a + -8ax = 0 Factor out the Greatest Common Factor (GCF), '8a'. 8a(2 + -1x) = 0 Ignore the factor 8.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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Add 'x' to each side of the equation. -1x + x = -2 + x Combine like terms: -1x + x = 0 0 = -2 + x Simplifying 0 = -2 + x 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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