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Simplifying 4a + 3a = 7ab Combine like terms: 4a + 3a = 7a 7a = 7ab Solving 7a = 7ab Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7ab' to each side of the equation. 7a + -7ab = 7ab + -7ab Combine like terms: 7ab + -7ab = 0 7a + -7ab = 0 Factor out the Greatest Common Factor (GCF), '7a'. 7a(1 + -1b) = 0 Ignore the factor 7.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 + -1b)' equal to zero and attempt to solve: Simplifying 1 + -1b = 0 Solving 1 + -1b = 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 + -1b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1b = 0 + -1 -1b = 0 + -1 Combine like terms: 0 + -1 = -1 -1b = -1 Add 'b' to each side of the equation. -1b + b = -1 + b Combine like terms: -1b + b = 0 0 = -1 + b Simplifying 0 = -1 + b 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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