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Simplifying 5e2z + 16 = 56 Reorder the terms: 16 + 5e2z = 56 Solving 16 + 5e2z = 56 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 5e2z = 56 + -16 Combine like terms: 16 + -16 = 0 0 + 5e2z = 56 + -16 5e2z = 56 + -16 Combine like terms: 56 + -16 = 40 5e2z = 40 Divide each side by '5z'. e2 = 8z-1 Simplifying e2 = 8z-1 Combine like terms: 8z-1 + -8z-1 = 0 e2 + -8z-1 = 0 Factor out the Greatest Common Factor (GCF), 'z-1'. z-1(e2z + -8) = 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 + -8)' equal to zero and attempt to solve: Simplifying e2z + -8 = 0 Reorder the terms: -8 + e2z = 0 Solving -8 + e2z = 0 Move all terms containing e to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + e2z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + e2z = 0 + 8 e2z = 0 + 8 Combine like terms: 0 + 8 = 8 e2z = 8 Divide each side by 'z'. e2 = 8z-1 Simplifying e2 = 8z-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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