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Simplifying 2e4x + 9 = 30 Reorder the terms: 9 + 2e4x = 30 Solving 9 + 2e4x = 30 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2e4x = 30 + -9 Combine like terms: 9 + -9 = 0 0 + 2e4x = 30 + -9 2e4x = 30 + -9 Combine like terms: 30 + -9 = 21 2e4x = 21 Divide each side by '2x'. e4 = 10.5x-1 Simplifying e4 = 10.5x-1 Combine like terms: 10.5x-1 + -10.5x-1 = 0.0 e4 + -10.5x-1 = 0.0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e4x + -10.5) = 0.0Subproblem 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 '(e4x + -10.5)' equal to zero and attempt to solve: Simplifying e4x + -10.5 = 0 Reorder the terms: -10.5 + e4x = 0 Solving -10.5 + e4x = 0 Move all terms containing e to the left, all other terms to the right. Add '10.5' to each side of the equation. -10.5 + 10.5 + e4x = 0 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 0.0 + e4x = 0 + 10.5 e4x = 0 + 10.5 Combine like terms: 0 + 10.5 = 10.5 e4x = 10.5 Divide each side by 'x'. e4 = 10.5x-1 Simplifying e4 = 10.5x-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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