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Simplifying 4ab(3a + 7b) = 0 (3a * 4ab + 7b * 4ab) = 0 Reorder the terms: (28ab2 + 12a2b) = 0 (28ab2 + 12a2b) = 0 Solving 28ab2 + 12a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4ab'. 4ab(7b + 3a) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(7b + 3a)' equal to zero and attempt to solve: Simplifying 7b + 3a = 0 Reorder the terms: 3a + 7b = 0 Solving 3a + 7b = 0 Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. 3a + 7b + -7b = 0 + -7b Combine like terms: 7b + -7b = 0 3a + 0 = 0 + -7b 3a = 0 + -7b Remove the zero: 3a = -7b Divide each side by '3'. a = -2.333333333b Simplifying a = -2.333333333bSolution
a = {-2.333333333b}
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