2(e^2x)-3=8

Simple and best practice solution for 2(e^2x)-3=8 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 2(e^2x)-3=8 equation:


Simplifying
2(e2x) + -3 = 8

Reorder the terms:
-3 + 2e2x = 8

Solving
-3 + 2e2x = 8

Solving for variable 'e'.

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

Add '3' to each side of the equation.
-3 + 3 + 2e2x = 8 + 3

Combine like terms: -3 + 3 = 0
0 + 2e2x = 8 + 3
2e2x = 8 + 3

Combine like terms: 8 + 3 = 11
2e2x = 11

Divide each side by '2x'.
e2 = 5.5x-1

Simplifying
e2 = 5.5x-1

Combine like terms: 5.5x-1 + -5.5x-1 = 0.0
e2 + -5.5x-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e2x + -5.5) = 0.0

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 '(e2x + -5.5)' equal to zero and attempt to solve: Simplifying e2x + -5.5 = 0 Reorder the terms: -5.5 + e2x = 0 Solving -5.5 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '5.5' to each side of the equation. -5.5 + 5.5 + e2x = 0 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + e2x = 0 + 5.5 e2x = 0 + 5.5 Combine like terms: 0 + 5.5 = 5.5 e2x = 5.5 Divide each side by 'x'. e2 = 5.5x-1 Simplifying e2 = 5.5x-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:

| 8x-4=12-20 | | -9=x/6 | | 5x^4-16x^3+30=0 | | 18a-6b/-3=x | | 7X-8=3(2x-6) | | x-y=27 | | -5(2x+x)-3(-xy)=b | | -6a+15a+(-11a)=x | | 2v^2+7v+34=v^2-4v+4 | | 9r=10 | | 2v^2-7v+34=v^2-4v+4 | | 2v^2+7v+34=(v-2)(v+2) | | -18=10x | | 2x^2+2x+1=50 | | 0.6x+7.4=6.5 | | 18x-1x=17x+3 | | x-y=37 | | 2x+2.4=6 | | a^6+b^6=0 | | -11+x=48 | | http://media.apexlearning.com/Images/201308/05/3ccb41f5-995a-4155-9133-5e056ff07f80.gif | | 3ex+1=2 | | 3e^2+1= | | -3y-(7y+1)= | | -5+9z+3-6z= | | 8b=-32 | | -24a^9b/6ab^8= | | -4.5+4.2+5.6-7.3= | | 4u-10=26 | | -5+5y+3-2y= | | (-15)(-0.333333x)(2)+3x=x | | 9x+6y=-39 |

Equations solver categories