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Simplifying a[2 + b(2 + c)] = 0 a[2 + (2 * b + c * b)] = 0 a[2 + (2b + bc)] = 0 [2 * a + 2b * a + bc * a] = 0 [2a + 2ab + abc] = 0 Solving 2a + 2ab + abc = 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(2 + 2b + bc) = 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 '(2 + 2b + bc)' equal to zero and attempt to solve: Simplifying 2 + 2b + bc = 0 Solving 2 + 2b + bc = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2b + -2 + bc = 0 + -2 Reorder the terms: 2 + -2 + 2b + bc = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2b + bc = 0 + -2 2b + bc = 0 + -2 Combine like terms: 0 + -2 = -2 2b + bc = -2 Add '-2b' to each side of the equation. 2b + -2b + bc = -2 + -2b Combine like terms: 2b + -2b = 0 0 + bc = -2 + -2b bc = -2 + -2b Add '-1bc' to each side of the equation. bc + -1bc = -2 + -2b + -1bc Combine like terms: bc + -1bc = 0 0 = -2 + -2b + -1bc Simplifying 0 = -2 + -2b + -1bc 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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