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Simplifying 2a7b3 + -288ab = 0 Reorder the terms: -288ab + 2a7b3 = 0 Solving -288ab + 2a7b3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2ab'. 2ab(-144 + a6b2) = 0 Factor a difference between two squares. 2ab((12 + a3b)(-12 + a3b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 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 '(12 + a3b)' equal to zero and attempt to solve: Simplifying 12 + a3b = 0 Solving 12 + a3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + a3b = 0 + -12 Combine like terms: 12 + -12 = 0 0 + a3b = 0 + -12 a3b = 0 + -12 Combine like terms: 0 + -12 = -12 a3b = -12 Divide each side by 'b'. a3 = -12b-1 Simplifying a3 = -12b-1 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 '(-12 + a3b)' equal to zero and attempt to solve: Simplifying -12 + a3b = 0 Solving -12 + a3b = 0 Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + a3b = 0 + 12 Combine like terms: -12 + 12 = 0 0 + a3b = 0 + 12 a3b = 0 + 12 Combine like terms: 0 + 12 = 12 a3b = 12 Divide each side by 'b'. a3 = 12b-1 Simplifying a3 = 12b-1 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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