2e^3v+4=12

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Solution for 2e^3v+4=12 equation:


Simplifying
2e3v + 4 = 12

Reorder the terms:
4 + 2e3v = 12

Solving
4 + 2e3v = 12

Solving for variable 'e'.

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

Add '-4' to each side of the equation.
4 + -4 + 2e3v = 12 + -4

Combine like terms: 4 + -4 = 0
0 + 2e3v = 12 + -4
2e3v = 12 + -4

Combine like terms: 12 + -4 = 8
2e3v = 8

Divide each side by '2v'.
e3 = 4v-1

Simplifying
e3 = 4v-1

Combine like terms: 4v-1 + -4v-1 = 0
e3 + -4v-1 = 0

Factor out the Greatest Common Factor (GCF), 'v-1'.
v-1(e3v + -4) = 0

Subproblem 1

Set the factor 'v-1' equal to zero and attempt to solve: Simplifying v-1 = 0 Solving v-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1v-1' to each side of the equation. v-1 + -1v-1 = 0 + -1v-1 Remove the zero: 0 = -1v-1 Simplifying 0 = -1v-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 '(e3v + -4)' equal to zero and attempt to solve: Simplifying e3v + -4 = 0 Reorder the terms: -4 + e3v = 0 Solving -4 + e3v = 0 Move all terms containing e to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + e3v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + e3v = 0 + 4 e3v = 0 + 4 Combine like terms: 0 + 4 = 4 e3v = 4 Divide each side by 'v'. e3 = 4v-1 Simplifying e3 = 4v-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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