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Simplifying 1022 = 7e3x Solving 1022 = 7e3x Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-7e3x' to each side of the equation. 1022 + -7e3x = 7e3x + -7e3x Combine like terms: 7e3x + -7e3x = 0 1022 + -7e3x = 0 Add '-1022' to each side of the equation. 1022 + -1022 + -7e3x = 0 + -1022 Combine like terms: 1022 + -1022 = 0 0 + -7e3x = 0 + -1022 -7e3x = 0 + -1022 Combine like terms: 0 + -1022 = -1022 -7e3x = -1022 Divide each side by '-7x'. e3 = 146x-1 Simplifying e3 = 146x-1 Combine like terms: 146x-1 + -146x-1 = 0 e3 + -146x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e3x + -146) = 0Subproblem 1
Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-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 '(e3x + -146)' equal to zero and attempt to solve: Simplifying e3x + -146 = 0 Reorder the terms: -146 + e3x = 0 Solving -146 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '146' to each side of the equation. -146 + 146 + e3x = 0 + 146 Combine like terms: -146 + 146 = 0 0 + e3x = 0 + 146 e3x = 0 + 146 Combine like terms: 0 + 146 = 146 e3x = 146 Divide each side by 'x'. e3 = 146x-1 Simplifying e3 = 146x-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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