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Simplifying (a2b2) + -1(c2) = 9 a2b2 + -1(c2) = 9 Solving a2b2 + -1c2 = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'c2' to each side of the equation. a2b2 + -1c2 + c2 = 9 + c2 Combine like terms: -1c2 + c2 = 0 a2b2 + 0 = 9 + c2 a2b2 = 9 + c2 Divide each side by 'b2'. a2 = 9b-2 + b-2c2 Simplifying a2 = 9b-2 + b-2c2 Reorder the terms: a2 + -9b-2 + -1b-2c2 = 9b-2 + -9b-2 + b-2c2 + -1b-2c2 Combine like terms: 9b-2 + -9b-2 = 0 a2 + -9b-2 + -1b-2c2 = 0 + b-2c2 + -1b-2c2 a2 + -9b-2 + -1b-2c2 = b-2c2 + -1b-2c2 Combine like terms: b-2c2 + -1b-2c2 = 0 a2 + -9b-2 + -1b-2c2 = 0 Factor out the Greatest Common Factor (GCF), 'b-2'. b-2(a2b2 + -9 + -1c2) = 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 + -9 + -1c2)' equal to zero and attempt to solve: Simplifying a2b2 + -9 + -1c2 = 0 Reorder the terms: -9 + a2b2 + -1c2 = 0 Solving -9 + a2b2 + -1c2 = 0 Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + a2b2 + 9 + -1c2 = 0 + 9 Reorder the terms: -9 + 9 + a2b2 + -1c2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + a2b2 + -1c2 = 0 + 9 a2b2 + -1c2 = 0 + 9 Combine like terms: 0 + 9 = 9 a2b2 + -1c2 = 9 Add 'c2' to each side of the equation. a2b2 + -1c2 + c2 = 9 + c2 Combine like terms: -1c2 + c2 = 0 a2b2 + 0 = 9 + c2 a2b2 = 9 + c2 Divide each side by 'b2'. a2 = 9b-2 + b-2c2 Simplifying a2 = 9b-2 + b-2c2 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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