24=12e^10r

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Solution for 24=12e^10r equation:


Simplifying
24 = 12e10r

Solving
24 = 12e10r

Solving for variable 'e'.

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

Add '-12e10r' to each side of the equation.
24 + -12e10r = 12e10r + -12e10r

Combine like terms: 12e10r + -12e10r = 0
24 + -12e10r = 0

Add '-24' to each side of the equation.
24 + -24 + -12e10r = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -12e10r = 0 + -24
-12e10r = 0 + -24

Combine like terms: 0 + -24 = -24
-12e10r = -24

Divide each side by '-12r'.
e10 = 2r-1

Simplifying
e10 = 2r-1

Combine like terms: 2r-1 + -2r-1 = 0
e10 + -2r-1 = 0

Factor out the Greatest Common Factor (GCF), 'r-1'.
r-1(e10r + -2) = 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 '(e10r + -2)' equal to zero and attempt to solve: Simplifying e10r + -2 = 0 Reorder the terms: -2 + e10r = 0 Solving -2 + e10r = 0 Move all terms containing e to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + e10r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + e10r = 0 + 2 e10r = 0 + 2 Combine like terms: 0 + 2 = 2 e10r = 2 Divide each side by 'r'. e10 = 2r-1 Simplifying e10 = 2r-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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