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Simplifying 7e3x + 10 = 14 Reorder the terms: 10 + 7e3x = 14 Solving 10 + 7e3x = 14 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 7e3x = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 7e3x = 14 + -10 7e3x = 14 + -10 Combine like terms: 14 + -10 = 4 7e3x = 4 Divide each side by '7x'. e3 = 0.5714285714x-1 Simplifying e3 = 0.5714285714x-1 Combine like terms: 0.5714285714x-1 + -0.5714285714x-1 = 0.0000000000 e3 + -0.5714285714x-1 = 0.0000000000 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e3x + -0.5714285714) = 0.0000000000Subproblem 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 + -0.5714285714)' equal to zero and attempt to solve: Simplifying e3x + -0.5714285714 = 0 Reorder the terms: -0.5714285714 + e3x = 0 Solving -0.5714285714 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '0.5714285714' to each side of the equation. -0.5714285714 + 0.5714285714 + e3x = 0 + 0.5714285714 Combine like terms: -0.5714285714 + 0.5714285714 = 0.0000000000 0.0000000000 + e3x = 0 + 0.5714285714 e3x = 0 + 0.5714285714 Combine like terms: 0 + 0.5714285714 = 0.5714285714 e3x = 0.5714285714 Divide each side by 'x'. e3 = 0.5714285714x-1 Simplifying e3 = 0.5714285714x-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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