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Simplifying 10e3z + -7 = 5 Reorder the terms: -7 + 10e3z = 5 Solving -7 + 10e3z = 5 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 10e3z = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 10e3z = 5 + 7 10e3z = 5 + 7 Combine like terms: 5 + 7 = 12 10e3z = 12 Divide each side by '10z'. e3 = 1.2z-1 Simplifying e3 = 1.2z-1 Combine like terms: 1.2z-1 + -1.2z-1 = 0.0 e3 + -1.2z-1 = 0.0 Factor out the Greatest Common Factor (GCF), 'z-1'. z-1(e3z + -1.2) = 0.0Subproblem 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 '(e3z + -1.2)' equal to zero and attempt to solve: Simplifying e3z + -1.2 = 0 Reorder the terms: -1.2 + e3z = 0 Solving -1.2 + e3z = 0 Move all terms containing e to the left, all other terms to the right. Add '1.2' to each side of the equation. -1.2 + 1.2 + e3z = 0 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + e3z = 0 + 1.2 e3z = 0 + 1.2 Combine like terms: 0 + 1.2 = 1.2 e3z = 1.2 Divide each side by 'z'. e3 = 1.2z-1 Simplifying e3 = 1.2z-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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