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Simplifying 3a + 6ab + 4a(b + c) = 0 3a + 6ab + (b * 4a + c * 4a) = 0 3a + 6ab + (4ab + 4ac) = 0 Combine like terms: 6ab + 4ab = 10ab 3a + 10ab + 4ac = 0 Solving 3a + 10ab + 4ac = 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), 'a'. a(3 + 10b + 4c) = 0Subproblem 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 '(3 + 10b + 4c)' equal to zero and attempt to solve: Simplifying 3 + 10b + 4c = 0 Solving 3 + 10b + 4c = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 10b + -3 + 4c = 0 + -3 Reorder the terms: 3 + -3 + 10b + 4c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 10b + 4c = 0 + -3 10b + 4c = 0 + -3 Combine like terms: 0 + -3 = -3 10b + 4c = -3 Add '-10b' to each side of the equation. 10b + -10b + 4c = -3 + -10b Combine like terms: 10b + -10b = 0 0 + 4c = -3 + -10b 4c = -3 + -10b Add '-4c' to each side of the equation. 4c + -4c = -3 + -10b + -4c Combine like terms: 4c + -4c = 0 0 = -3 + -10b + -4c Simplifying 0 = -3 + -10b + -4c 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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