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Simplifying 2ax = 10a + -3ax Solving 2ax = 10a + -3ax Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -10a + 2ax = 10a + -10a + -3ax Combine like terms: 10a + -10a = 0 -10a + 2ax = 0 + -3ax -10a + 2ax = -3ax Add '3ax' to each side of the equation. -10a + 2ax + 3ax = -3ax + 3ax Combine like terms: 2ax + 3ax = 5ax -10a + 5ax = -3ax + 3ax Combine like terms: -3ax + 3ax = 0 -10a + 5ax = 0 Factor out the Greatest Common Factor (GCF), '5a'. 5a(-2 + x) = 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 '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 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 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Add '-1x' to each side of the equation. x + -1x = 2 + -1x Combine like terms: x + -1x = 0 0 = 2 + -1x Simplifying 0 = 2 + -1x 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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