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Simplifying 4a(3ab + 7b + -12a) = 0 Reorder the terms: 4a(-12a + 3ab + 7b) = 0 (-12a * 4a + 3ab * 4a + 7b * 4a) = 0 Reorder the terms: (28ab + -48a2 + 12a2b) = 0 (28ab + -48a2 + 12a2b) = 0 Solving 28ab + -48a2 + 12a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(7b + -12a + 3ab) = 0 Ignore the factor 4.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 '(7b + -12a + 3ab)' equal to zero and attempt to solve: Simplifying 7b + -12a + 3ab = 0 Reorder the terms: -12a + 3ab + 7b = 0 Solving -12a + 3ab + 7b = 0 Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. -12a + 3ab + 7b + -7b = 0 + -7b Combine like terms: 7b + -7b = 0 -12a + 3ab + 0 = 0 + -7b -12a + 3ab = 0 + -7b Remove the zero: -12a + 3ab = -7b 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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