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