3e^3x=6

Simple and best practice solution for 3e^3x=6 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 3e^3x=6 equation:


Simplifying
3e3x = 6

Solving
3e3x = 6

Solving for variable 'e'.

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

Divide each side by '3x'.
e3 = 2x-1

Simplifying
e3 = 2x-1

Combine like terms: 2x-1 + -2x-1 = 0
e3 + -2x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -2) = 0

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 '(e3x + -2)' equal to zero and attempt to solve: Simplifying e3x + -2 = 0 Reorder the terms: -2 + e3x = 0 Solving -2 + e3x = 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 + e3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + e3x = 0 + 2 e3x = 0 + 2 Combine like terms: 0 + 2 = 2 e3x = 2 Divide each side by 'x'. e3 = 2x-1 Simplifying e3 = 2x-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.

See similar equations:

| ln((x^2)-4)=0 | | 32-3/2x=37 | | 2+2x=2(2x+4)-3(x-4) | | t=(-x-sqrt(x*x-a))/d,t=(-y-sqrt(y*y-b))/e,t=(-z-sqrt(z*z-c))/f,x*x=s*s-y*y-z*z | | 4x-3-2(3x)-17=-2-5x-4(16-5) | | 3a-2a+7=12 | | 8y+10+3x+8+53=180 | | 9b-2(3b+2)=16 | | 4+2.2x=3.7 | | -13=-1-x | | 3/30x=1-1/4y | | -6t=6 | | 8a^3b-12a^4b^2=0 | | -10x=4x+2(-6x+15) | | 3x+7(-x+3)=49 | | 3x-25=7x-5 | | -10x-84=52-2x | | 7z-9=26 | | 8x-7+18=21 | | 5x=5x+5 | | y=3x^4-10x+3 | | 1.68s^2=t^2 | | -9b^2+15b-4=0 | | 3x^3-6x-1=0 | | -28+15y= | | 8a^3-12a^4b^2=0 | | 37+m=3m-5(1-8m) | | 12x+4-7x=10 | | -5x-10=4x-30+x | | 3x-3+2(2x)+13=-2-5x+(4(4)-5) | | X-3/2=1-x/3 | | 8a^2-8=24 |

Equations solver categories