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Simplifying 15e3x + 2 = 495 Reorder the terms: 2 + 15e3x = 495 Solving 2 + 15e3x = 495 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 15e3x = 495 + -2 Combine like terms: 2 + -2 = 0 0 + 15e3x = 495 + -2 15e3x = 495 + -2 Combine like terms: 495 + -2 = 493 15e3x = 493 Divide each side by '15x'. e3 = 32.86666667x-1 Simplifying e3 = 32.86666667x-1 Combine like terms: 32.86666667x-1 + -32.86666667x-1 = 0.00000000 e3 + -32.86666667x-1 = 0.00000000 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e3x + -32.86666667) = 0.00000000Subproblem 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 + -32.86666667)' equal to zero and attempt to solve: Simplifying e3x + -32.86666667 = 0 Reorder the terms: -32.86666667 + e3x = 0 Solving -32.86666667 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '32.86666667' to each side of the equation. -32.86666667 + 32.86666667 + e3x = 0 + 32.86666667 Combine like terms: -32.86666667 + 32.86666667 = 0.00000000 0.00000000 + e3x = 0 + 32.86666667 e3x = 0 + 32.86666667 Combine like terms: 0 + 32.86666667 = 32.86666667 e3x = 32.86666667 Divide each side by 'x'. e3 = 32.86666667x-1 Simplifying e3 = 32.86666667x-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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