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Simplifying (a2b + -4)(a2b + -8) = 0 Reorder the terms: (-4 + a2b)(a2b + -8) = 0 Reorder the terms: (-4 + a2b)(-8 + a2b) = 0 Multiply (-4 + a2b) * (-8 + a2b) (-4(-8 + a2b) + a2b(-8 + a2b)) = 0 ((-8 * -4 + a2b * -4) + a2b(-8 + a2b)) = 0 ((32 + -4a2b) + a2b(-8 + a2b)) = 0 (32 + -4a2b + (-8 * a2b + a2b * a2b)) = 0 (32 + -4a2b + (-8a2b + a4b2)) = 0 Combine like terms: -4a2b + -8a2b = -12a2b (32 + -12a2b + a4b2) = 0 Solving 32 + -12a2b + a4b2 = 0 Solving for variable 'a'. Factor a trinomial. (4 + -1a2b)(8 + -1a2b) = 0Subproblem 1
Set the factor '(4 + -1a2b)' equal to zero and attempt to solve: Simplifying 4 + -1a2b = 0 Solving 4 + -1a2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1a2b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a2b = 0 + -4 -1a2b = 0 + -4 Combine like terms: 0 + -4 = -4 -1a2b = -4 Divide each side by '-1b'. a2 = 4b-1 Simplifying a2 = 4b-1 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 '(8 + -1a2b)' equal to zero and attempt to solve: Simplifying 8 + -1a2b = 0 Solving 8 + -1a2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1a2b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1a2b = 0 + -8 -1a2b = 0 + -8 Combine like terms: 0 + -8 = -8 -1a2b = -8 Divide each side by '-1b'. a2 = 8b-1 Simplifying a2 = 8b-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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