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Simplifying 6ab2 + -20ab + -64a = 0 Reorder the terms: -64a + -20ab + 6ab2 = 0 Solving -64a + -20ab + 6ab2 = 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), '2a'. 2a(-32 + -10b + 3b2) = 0 Factor a trinomial. 2a((-2 + -1b)(16 + -3b)) = 0 Ignore the factor 2.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 '(-2 + -1b)' equal to zero and attempt to solve: Simplifying -2 + -1b = 0 Solving -2 + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1b = 0 + 2 -1b = 0 + 2 Combine like terms: 0 + 2 = 2 -1b = 2 Add 'b' to each side of the equation. -1b + b = 2 + b Combine like terms: -1b + b = 0 0 = 2 + b Simplifying 0 = 2 + b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(16 + -3b)' equal to zero and attempt to solve: Simplifying 16 + -3b = 0 Solving 16 + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -3b = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -3b = 0 + -16 -3b = 0 + -16 Combine like terms: 0 + -16 = -16 -3b = -16 Add '3b' to each side of the equation. -3b + 3b = -16 + 3b Combine like terms: -3b + 3b = 0 0 = -16 + 3b Simplifying 0 = -16 + 3b 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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