30=50e^4r

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Solution for 30=50e^4r equation:


Simplifying
30 = 50e4r

Solving
30 = 50e4r

Solving for variable 'e'.

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

Add '-50e4r' to each side of the equation.
30 + -50e4r = 50e4r + -50e4r

Combine like terms: 50e4r + -50e4r = 0
30 + -50e4r = 0

Add '-30' to each side of the equation.
30 + -30 + -50e4r = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -50e4r = 0 + -30
-50e4r = 0 + -30

Combine like terms: 0 + -30 = -30
-50e4r = -30

Divide each side by '-50r'.
e4 = 0.6r-1

Simplifying
e4 = 0.6r-1

Combine like terms: 0.6r-1 + -0.6r-1 = 0.0
e4 + -0.6r-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'r-1'.
r-1(e4r + -0.6) = 0.0

Subproblem 1

Set the factor 'r-1' equal to zero and attempt to solve: Simplifying r-1 = 0 Solving r-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1r-1' to each side of the equation. r-1 + -1r-1 = 0 + -1r-1 Remove the zero: 0 = -1r-1 Simplifying 0 = -1r-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 '(e4r + -0.6)' equal to zero and attempt to solve: Simplifying e4r + -0.6 = 0 Reorder the terms: -0.6 + e4r = 0 Solving -0.6 + e4r = 0 Move all terms containing e to the left, all other terms to the right. Add '0.6' to each side of the equation. -0.6 + 0.6 + e4r = 0 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + e4r = 0 + 0.6 e4r = 0 + 0.6 Combine like terms: 0 + 0.6 = 0.6 e4r = 0.6 Divide each side by 'r'. e4 = 0.6r-1 Simplifying e4 = 0.6r-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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