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Simplifying (4z2 + -36z + 81) * ft2 = 0 Reorder the terms: (81 + -36z + 4z2) * ft2 = 0 Reorder the terms for easier multiplication: ft2(81 + -36z + 4z2) = 0 (81 * ft2 + -36z * ft2 + 4z2 * ft2) = 0 (81ft2 + -36ft2z + 4ft2z2) = 0 Solving 81ft2 + -36ft2z + 4ft2z2 = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'ft2'. ft2(81 + -36z + 4z2) = 0 Factor a trinomial. ft2((9 + -2z)(9 + -2z)) = 0Subproblem 1
Set the factor 'ft2' equal to zero and attempt to solve: Simplifying ft2 = 0 Solving ft2 = 0 Move all terms containing f to the left, all other terms to the right. Simplifying ft2 = 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 '(9 + -2z)' equal to zero and attempt to solve: Simplifying 9 + -2z = 0 Solving 9 + -2z = 0 Move all terms containing f to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2z = 0 + -9 -2z = 0 + -9 Combine like terms: 0 + -9 = -9 -2z = -9 Add '2z' to each side of the equation. -2z + 2z = -9 + 2z Combine like terms: -2z + 2z = 0 0 = -9 + 2z Simplifying 0 = -9 + 2z 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 '(9 + -2z)' equal to zero and attempt to solve: Simplifying 9 + -2z = 0 Solving 9 + -2z = 0 Move all terms containing f to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2z = 0 + -9 -2z = 0 + -9 Combine like terms: 0 + -9 = -9 -2z = -9 Add '2z' to each side of the equation. -2z + 2z = -9 + 2z Combine like terms: -2z + 2z = 0 0 = -9 + 2z Simplifying 0 = -9 + 2z 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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