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Simplifying 7a + -4a(3b + 5) = 0 Reorder the terms: 7a + -4a(5 + 3b) = 0 7a + (5 * -4a + 3b * -4a) = 0 7a + (-20a + -12ab) = 0 Combine like terms: 7a + -20a = -13a -13a + -12ab = 0 Solving -13a + -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), '-1a'. -1a(13 + 12b) = 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 '(13 + 12b)' equal to zero and attempt to solve: Simplifying 13 + 12b = 0 Solving 13 + 12b = 0 Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 12b = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 12b = 0 + -13 12b = 0 + -13 Combine like terms: 0 + -13 = -13 12b = -13 Add '-12b' to each side of the equation. 12b + -12b = -13 + -12b Combine like terms: 12b + -12b = 0 0 = -13 + -12b Simplifying 0 = -13 + -12b 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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