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Simplifying Expand(9d + 11)(9d + -11) = 0 Reorder the terms: adnpxE(11 + 9d)(9d + -11) = 0 Reorder the terms: adnpxE(11 + 9d)(-11 + 9d) = 0 Multiply (11 + 9d) * (-11 + 9d) adnpxE(11(-11 + 9d) + 9d * (-11 + 9d)) = 0 adnpxE((-11 * 11 + 9d * 11) + 9d * (-11 + 9d)) = 0 adnpxE((-121 + 99d) + 9d * (-11 + 9d)) = 0 adnpxE(-121 + 99d + (-11 * 9d + 9d * 9d)) = 0 adnpxE(-121 + 99d + (-99d + 81d2)) = 0 Combine like terms: 99d + -99d = 0 adnpxE(-121 + 0 + 81d2) = 0 adnpxE(-121 + 81d2) = 0 (-121 * adnpxE + 81d2 * adnpxE) = 0 (-121adnpxE + 81ad3npxE) = 0 Solving -121adnpxE + 81ad3npxE = 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), 'adnpxE'. adnpxE(-121 + 81d2) = 0 Factor a difference between two squares. adnpxE((11 + 9d)(-11 + 9d)) = 0Subproblem 1
Set the factor 'adnpxE' equal to zero and attempt to solve: Simplifying adnpxE = 0 Solving adnpxE = 0 Move all terms containing a to the left, all other terms to the right. Simplifying adnpxE = 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 '(11 + 9d)' equal to zero and attempt to solve: Simplifying 11 + 9d = 0 Solving 11 + 9d = 0 Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 9d = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 9d = 0 + -11 9d = 0 + -11 Combine like terms: 0 + -11 = -11 9d = -11 Add '-9d' to each side of the equation. 9d + -9d = -11 + -9d Combine like terms: 9d + -9d = 0 0 = -11 + -9d Simplifying 0 = -11 + -9d 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 '(-11 + 9d)' equal to zero and attempt to solve: Simplifying -11 + 9d = 0 Solving -11 + 9d = 0 Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 9d = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 9d = 0 + 11 9d = 0 + 11 Combine like terms: 0 + 11 = 11 9d = 11 Add '-9d' to each side of the equation. 9d + -9d = 11 + -9d Combine like terms: 9d + -9d = 0 0 = 11 + -9d Simplifying 0 = 11 + -9d 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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