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Simplifying 9e2z = 54 Solving 9e2z = 54 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Divide each side by '9z'. e2 = 6z-1 Simplifying e2 = 6z-1 Combine like terms: 6z-1 + -6z-1 = 0 e2 + -6z-1 = 0 Factor out the Greatest Common Factor (GCF), 'z-1'. z-1(e2z + -6) = 0Subproblem 1
Set the factor 'z-1' equal to zero and attempt to solve: Simplifying z-1 = 0 Solving z-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1z-1' to each side of the equation. z-1 + -1z-1 = 0 + -1z-1 Remove the zero: 0 = -1z-1 Simplifying 0 = -1z-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 '(e2z + -6)' equal to zero and attempt to solve: Simplifying e2z + -6 = 0 Reorder the terms: -6 + e2z = 0 Solving -6 + e2z = 0 Move all terms containing e to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + e2z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + e2z = 0 + 6 e2z = 0 + 6 Combine like terms: 0 + 6 = 6 e2z = 6 Divide each side by 'z'. e2 = 6z-1 Simplifying e2 = 6z-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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