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Simplifying (-7ab + 2a) + -1(3a + -5ab) = 0 Reorder the terms: (2a + -7ab) + -1(3a + -5ab) = 0 Remove parenthesis around (2a + -7ab) 2a + -7ab + -1(3a + -5ab) = 0 2a + -7ab + (3a * -1 + -5ab * -1) = 0 2a + -7ab + (-3a + 5ab) = 0 Reorder the terms: 2a + -3a + -7ab + 5ab = 0 Combine like terms: 2a + -3a = -1a -1a + -7ab + 5ab = 0 Combine like terms: -7ab + 5ab = -2ab -1a + -2ab = 0 Solving -1a + -2ab = 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), '-1a'. -1a(1 + 2b) = 0 Ignore the factor -1.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 '(1 + 2b)' equal to zero and attempt to solve: Simplifying 1 + 2b = 0 Solving 1 + 2b = 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 + 2b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2b = 0 + -1 2b = 0 + -1 Combine like terms: 0 + -1 = -1 2b = -1 Add '-2b' to each side of the equation. 2b + -2b = -1 + -2b Combine like terms: 2b + -2b = 0 0 = -1 + -2b Simplifying 0 = -1 + -2b 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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