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Simplifying 2a + -5ab + 4a + -7ab = 0 Reorder the terms: 2a + 4a + -5ab + -7ab = 0 Combine like terms: 2a + 4a = 6a 6a + -5ab + -7ab = 0 Combine like terms: -5ab + -7ab = -12ab 6a + -12ab = 0 Solving 6a + -12ab = 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), '6a'. 6a(1 + -2b) = 0 Ignore the factor 6.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 '(1 + -2b)' equal to zero and attempt to solve: Simplifying 1 + -2b = 0 Solving 1 + -2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2b = 0 + -1 -2b = 0 + -1 Combine like terms: 0 + -1 = -1 -2b = -1 Add '2b' to each side of the equation. -2b + 2b = -1 + 2b Combine like terms: -2b + 2b = 0 0 = -1 + 2b Simplifying 0 = -1 + 2b 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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