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Simplifying (2ab + -2ac) + (ab + -4ac) = 0 Remove parenthesis around (2ab + -2ac) 2ab + -2ac + (ab + -4ac) = 0 Remove parenthesis around (ab + -4ac) 2ab + -2ac + ab + -4ac = 0 Reorder the terms: 2ab + ab + -2ac + -4ac = 0 Combine like terms: 2ab + ab = 3ab 3ab + -2ac + -4ac = 0 Combine like terms: -2ac + -4ac = -6ac 3ab + -6ac = 0 Solving 3ab + -6ac = 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), '3a'. 3a(b + -2c) = 0 Ignore the factor 3.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 '(b + -2c)' equal to zero and attempt to solve: Simplifying b + -2c = 0 Solving b + -2c = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b + -2c = 0 + -1b Combine like terms: b + -1b = 0 0 + -2c = 0 + -1b -2c = 0 + -1b Remove the zero: -2c = -1b Add '2c' to each side of the equation. -2c + 2c = -1b + 2c Combine like terms: -2c + 2c = 0 0 = -1b + 2c Simplifying 0 = -1b + 2c 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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