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Simplifying a(1 + -1x) = 2ax + 3 + -2a (1 * a + -1x * a) = 2ax + 3 + -2a (1a + -1ax) = 2ax + 3 + -2a Reorder the terms: 1a + -1ax = 3 + -2a + 2ax Solving 1a + -1ax = 3 + -2a + 2ax Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 1a + 2a + -1ax = 3 + -2a + 2a + 2ax Combine like terms: 1a + 2a = 3a 3a + -1ax = 3 + -2a + 2a + 2ax Combine like terms: -2a + 2a = 0 3a + -1ax = 3 + 0 + 2ax 3a + -1ax = 3 + 2ax Add '-2ax' to each side of the equation. 3a + -1ax + -2ax = 3 + 2ax + -2ax Combine like terms: -1ax + -2ax = -3ax 3a + -3ax = 3 + 2ax + -2ax Combine like terms: 2ax + -2ax = 0 3a + -3ax = 3 + 0 3a + -3ax = 3 Reorder the terms: -3 + 3a + -3ax = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 3a + -3ax = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + a + -1ax) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + a + -1ax)' equal to zero and attempt to solve: Simplifying -1 + a + -1ax = 0 Solving -1 + a + -1ax = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + a + 1 + -1ax = 0 + 1 Reorder the terms: -1 + 1 + a + -1ax = 0 + 1 Combine like terms: -1 + 1 = 0 0 + a + -1ax = 0 + 1 a + -1ax = 0 + 1 Combine like terms: 0 + 1 = 1 a + -1ax = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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