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Simplifying a(2x + -2) = 6a Reorder the terms: a(-2 + 2x) = 6a (-2 * a + 2x * a) = 6a (-2a + 2ax) = 6a Solving -2a + 2ax = 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -2a + -6a + 2ax = 6a + -6a Combine like terms: -2a + -6a = -8a -8a + 2ax = 6a + -6a Combine like terms: 6a + -6a = 0 -8a + 2ax = 0 Factor out the Greatest Common Factor (GCF), '2a'. 2a(-4 + x) = 0 Ignore the factor 2.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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Add '-1x' to each side of the equation. x + -1x = 4 + -1x Combine like terms: x + -1x = 0 0 = 4 + -1x Simplifying 0 = 4 + -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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