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Simplifying a2b2 + -8c = 6 Solving a2b2 + -8c = 6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8c' to each side of the equation. a2b2 + -8c + 8c = 6 + 8c Combine like terms: -8c + 8c = 0 a2b2 + 0 = 6 + 8c a2b2 = 6 + 8c Divide each side by 'b2'. a2 = 6b-2 + 8b-2c Simplifying a2 = 6b-2 + 8b-2c Reorder the terms: a2 + -6b-2 + -8b-2c = 6b-2 + -6b-2 + 8b-2c + -8b-2c Combine like terms: 6b-2 + -6b-2 = 0 a2 + -6b-2 + -8b-2c = 0 + 8b-2c + -8b-2c a2 + -6b-2 + -8b-2c = 8b-2c + -8b-2c Combine like terms: 8b-2c + -8b-2c = 0 a2 + -6b-2 + -8b-2c = 0 Factor out the Greatest Common Factor (GCF), 'b-2'. b-2(a2b2 + -6 + -8c) = 0Subproblem 1
Set the factor 'b-2' equal to zero and attempt to solve: Simplifying b-2 = 0 Solving b-2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b-2' to each side of the equation. b-2 + -1b-2 = 0 + -1b-2 Remove the zero: 0 = -1b-2 Simplifying 0 = -1b-2 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 '(a2b2 + -6 + -8c)' equal to zero and attempt to solve: Simplifying a2b2 + -6 + -8c = 0 Reorder the terms: -6 + a2b2 + -8c = 0 Solving -6 + a2b2 + -8c = 0 Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + a2b2 + 6 + -8c = 0 + 6 Reorder the terms: -6 + 6 + a2b2 + -8c = 0 + 6 Combine like terms: -6 + 6 = 0 0 + a2b2 + -8c = 0 + 6 a2b2 + -8c = 0 + 6 Combine like terms: 0 + 6 = 6 a2b2 + -8c = 6 Add '8c' to each side of the equation. a2b2 + -8c + 8c = 6 + 8c Combine like terms: -8c + 8c = 0 a2b2 + 0 = 6 + 8c a2b2 = 6 + 8c Divide each side by 'b2'. a2 = 6b-2 + 8b-2c Simplifying a2 = 6b-2 + 8b-2c 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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