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Simplifying 18a2b4 + -12a2b3 + 24a2b2 = 0 Reorder the terms: 24a2b2 + -12a2b3 + 18a2b4 = 0 Solving 24a2b2 + -12a2b3 + 18a2b4 = 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), '6a2b2'. 6a2b2(4 + -2b + 3b2) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'a2b2' equal to zero and attempt to solve: Simplifying a2b2 = 0 Solving a2b2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b2 = 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 '(4 + -2b + 3b2)' equal to zero and attempt to solve: Simplifying 4 + -2b + 3b2 = 0 Solving 4 + -2b + 3b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -2b + -4 + 3b2 = 0 + -4 Reorder the terms: 4 + -4 + -2b + 3b2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2b + 3b2 = 0 + -4 -2b + 3b2 = 0 + -4 Combine like terms: 0 + -4 = -4 -2b + 3b2 = -4 Add '2b' to each side of the equation. -2b + 2b + 3b2 = -4 + 2b Combine like terms: -2b + 2b = 0 0 + 3b2 = -4 + 2b 3b2 = -4 + 2b Add '-3b2' to each side of the equation. 3b2 + -3b2 = -4 + 2b + -3b2 Combine like terms: 3b2 + -3b2 = 0 0 = -4 + 2b + -3b2 Simplifying 0 = -4 + 2b + -3b2 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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