75=110e^30x

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Solution for 75=110e^30x equation:


Simplifying
75 = 110e30x

Solving
75 = 110e30x

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-110e30x' to each side of the equation.
75 + -110e30x = 110e30x + -110e30x

Combine like terms: 110e30x + -110e30x = 0
75 + -110e30x = 0

Add '-75' to each side of the equation.
75 + -75 + -110e30x = 0 + -75

Combine like terms: 75 + -75 = 0
0 + -110e30x = 0 + -75
-110e30x = 0 + -75

Combine like terms: 0 + -75 = -75
-110e30x = -75

Divide each side by '-110x'.
e30 = 0.6818181818x-1

Simplifying
e30 = 0.6818181818x-1

Combine like terms: 0.6818181818x-1 + -0.6818181818x-1 = 0.0000000000
e30 + -0.6818181818x-1 = 0.0000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e30x + -0.6818181818) = 0.0000000000

Subproblem 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 '(e30x + -0.6818181818)' equal to zero and attempt to solve: Simplifying e30x + -0.6818181818 = 0 Reorder the terms: -0.6818181818 + e30x = 0 Solving -0.6818181818 + e30x = 0 Move all terms containing e to the left, all other terms to the right. Add '0.6818181818' to each side of the equation. -0.6818181818 + 0.6818181818 + e30x = 0 + 0.6818181818 Combine like terms: -0.6818181818 + 0.6818181818 = 0.0000000000 0.0000000000 + e30x = 0 + 0.6818181818 e30x = 0 + 0.6818181818 Combine like terms: 0 + 0.6818181818 = 0.6818181818 e30x = 0.6818181818 Divide each side by 'x'. e30 = 0.6818181818x-1 Simplifying e30 = 0.6818181818x-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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