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Simplifying -6ba2(2b2 + -3b + 16) = 0 Reorder the terms: -6a2b(16 + -3b + 2b2) = 0 (16 * -6a2b + -3b * -6a2b + 2b2 * -6a2b) = 0 (-96a2b + 18a2b2 + -12a2b3) = 0 Solving -96a2b + 18a2b2 + -12a2b3 = 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), '6a2b'. 6a2b(-16 + 3b + -2b2) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'a2b' equal to zero and attempt to solve: Simplifying a2b = 0 Solving a2b = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-16 + 3b + -2b2)' equal to zero and attempt to solve: Simplifying -16 + 3b + -2b2 = 0 Solving -16 + 3b + -2b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 3b + 16 + -2b2 = 0 + 16 Reorder the terms: -16 + 16 + 3b + -2b2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 3b + -2b2 = 0 + 16 3b + -2b2 = 0 + 16 Combine like terms: 0 + 16 = 16 3b + -2b2 = 16 Add '-3b' to each side of the equation. 3b + -3b + -2b2 = 16 + -3b Combine like terms: 3b + -3b = 0 0 + -2b2 = 16 + -3b -2b2 = 16 + -3b Add '2b2' to each side of the equation. -2b2 + 2b2 = 16 + -3b + 2b2 Combine like terms: -2b2 + 2b2 = 0 0 = 16 + -3b + 2b2 Simplifying 0 = 16 + -3b + 2b2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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