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Simplifying 20a + -16ab + 20ac = 0 Solving 20a + -16ab + 20ac = 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), '4a'. 4a(5 + -4b + 5c) = 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 '(5 + -4b + 5c)' equal to zero and attempt to solve: Simplifying 5 + -4b + 5c = 0 Solving 5 + -4b + 5c = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -4b + -5 + 5c = 0 + -5 Reorder the terms: 5 + -5 + -4b + 5c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4b + 5c = 0 + -5 -4b + 5c = 0 + -5 Combine like terms: 0 + -5 = -5 -4b + 5c = -5 Add '4b' to each side of the equation. -4b + 4b + 5c = -5 + 4b Combine like terms: -4b + 4b = 0 0 + 5c = -5 + 4b 5c = -5 + 4b Add '-5c' to each side of the equation. 5c + -5c = -5 + 4b + -5c Combine like terms: 5c + -5c = 0 0 = -5 + 4b + -5c Simplifying 0 = -5 + 4b + -5c 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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