e^3p-2=10

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Solution for e^3p-2=10 equation:


Simplifying
e3p + -2 = 10

Reorder the terms:
-2 + e3p = 10

Solving
-2 + e3p = 10

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 + e3p = 10 + 2

Combine like terms: -2 + 2 = 0
0 + e3p = 10 + 2
e3p = 10 + 2

Combine like terms: 10 + 2 = 12
e3p = 12

Divide each side by 'p'.
e3 = 12p-1

Simplifying
e3 = 12p-1

Combine like terms: 12p-1 + -12p-1 = 0
e3 + -12p-1 = 0

Factor out the Greatest Common Factor (GCF), 'p-1'.
p-1(e3p + -12) = 0

Subproblem 1

Set the factor 'p-1' equal to zero and attempt to solve: Simplifying p-1 = 0 Solving p-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1p-1' to each side of the equation. p-1 + -1p-1 = 0 + -1p-1 Remove the zero: 0 = -1p-1 Simplifying 0 = -1p-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 '(e3p + -12)' equal to zero and attempt to solve: Simplifying e3p + -12 = 0 Reorder the terms: -12 + e3p = 0 Solving -12 + e3p = 0 Move all terms containing e to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + e3p = 0 + 12 Combine like terms: -12 + 12 = 0 0 + e3p = 0 + 12 e3p = 0 + 12 Combine like terms: 0 + 12 = 12 e3p = 12 Divide each side by 'p'. e3 = 12p-1 Simplifying e3 = 12p-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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