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Simplifying 5ab + -1a + 3ab + -1ab = 0 Reorder the terms: -1a + 5ab + 3ab + -1ab = 0 Combine like terms: 5ab + 3ab = 8ab -1a + 8ab + -1ab = 0 Combine like terms: 8ab + -1ab = 7ab -1a + 7ab = 0 Solving -1a + 7ab = 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), 'a'. a(-1 + 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 '(-1 + 7b)' equal to zero and attempt to solve: Simplifying -1 + 7b = 0 Solving -1 + 7b = 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 + 7b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7b = 0 + 1 7b = 0 + 1 Combine like terms: 0 + 1 = 1 7b = 1 Add '-7b' to each side of the equation. 7b + -7b = 1 + -7b Combine like terms: 7b + -7b = 0 0 = 1 + -7b Simplifying 0 = 1 + -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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