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Simplifying 0 = 6a(b + 2c) 0 = (b * 6a + 2c * 6a) 0 = (6ab + 12ac) Solving 0 = 6ab + 12ac Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6ab' to each side of the equation. 0 + -6ab = 6ab + -6ab + 12ac Remove the zero: -6ab = 6ab + -6ab + 12ac Combine like terms: 6ab + -6ab = 0 -6ab = 0 + 12ac -6ab = 12ac Add '-12ac' to each side of the equation. -6ab + -12ac = 12ac + -12ac Combine like terms: 12ac + -12ac = 0 -6ab + -12ac = 0 Factor out the Greatest Common Factor (GCF), '-6a'. -6a(b + 2c) = 0 Ignore the factor -6.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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