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Simplifying 3a + 4b(6a + -3b) = 0 3a + (6a * 4b + -3b * 4b) = 0 3a + (24ab + -12b2) = 0 Solving 3a + 24ab + -12b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12b2' to each side of the equation. 3a + 24ab + -12b2 + 12b2 = 0 + 12b2 Combine like terms: -12b2 + 12b2 = 0 3a + 24ab + 0 = 0 + 12b2 3a + 24ab = 0 + 12b2 Remove the zero: 3a + 24ab = 12b2 Combine like terms: 12b2 + -12b2 = 0 3a + 24ab + -12b2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(a + 8ab + -4b2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(a + 8ab + -4b2)' equal to zero and attempt to solve: Simplifying a + 8ab + -4b2 = 0 Solving a + 8ab + -4b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '4b2' to each side of the equation. a + 8ab + -4b2 + 4b2 = 0 + 4b2 Combine like terms: -4b2 + 4b2 = 0 a + 8ab + 0 = 0 + 4b2 a + 8ab = 0 + 4b2 Remove the zero: a + 8ab = 4b2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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