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