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Simplifying 5ab + -8a + 7ab + -2a = 0 Reorder the terms: -8a + -2a + 5ab + 7ab = 0 Combine like terms: -8a + -2a = -10a -10a + 5ab + 7ab = 0 Combine like terms: 5ab + 7ab = 12ab -10a + 12ab = 0 Solving -10a + 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), '2a'. 2a(-5 + 6b) = 0 Ignore the factor 2.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 '(-5 + 6b)' equal to zero and attempt to solve: Simplifying -5 + 6b = 0 Solving -5 + 6b = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6b = 0 + 5 6b = 0 + 5 Combine like terms: 0 + 5 = 5 6b = 5 Add '-6b' to each side of the equation. 6b + -6b = 5 + -6b Combine like terms: 6b + -6b = 0 0 = 5 + -6b Simplifying 0 = 5 + -6b 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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