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Simplifying 7a + -3a + 8b + 7ab + -8b + -2ab = 0 Reorder the terms: 7a + -3a + 7ab + -2ab + 8b + -8b = 0 Combine like terms: 7a + -3a = 4a 4a + 7ab + -2ab + 8b + -8b = 0 Combine like terms: 7ab + -2ab = 5ab 4a + 5ab + 8b + -8b = 0 Combine like terms: 8b + -8b = 0 4a + 5ab + 0 = 0 4a + 5ab = 0 Solving 4a + 5ab = 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(4 + 5b) = 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 '(4 + 5b)' equal to zero and attempt to solve: Simplifying 4 + 5b = 0 Solving 4 + 5b = 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 + 5b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5b = 0 + -4 5b = 0 + -4 Combine like terms: 0 + -4 = -4 5b = -4 Add '-5b' to each side of the equation. 5b + -5b = -4 + -5b Combine like terms: 5b + -5b = 0 0 = -4 + -5b Simplifying 0 = -4 + -5b 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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