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Simplifying 7a + a + -1a + 3ab + -1ab + 2ab = 0 Combine like terms: 7a + a = 8a 8a + -1a + 3ab + -1ab + 2ab = 0 Combine like terms: 8a + -1a = 7a 7a + 3ab + -1ab + 2ab = 0 Combine like terms: 3ab + -1ab = 2ab 7a + 2ab + 2ab = 0 Combine like terms: 2ab + 2ab = 4ab 7a + 4ab = 0 Solving 7a + 4ab = 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(7 + 4b) = 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 '(7 + 4b)' equal to zero and attempt to solve: Simplifying 7 + 4b = 0 Solving 7 + 4b = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4b = 0 + -7 4b = 0 + -7 Combine like terms: 0 + -7 = -7 4b = -7 Add '-4b' to each side of the equation. 4b + -4b = -7 + -4b Combine like terms: 4b + -4b = 0 0 = -7 + -4b Simplifying 0 = -7 + -4b 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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