6e^2x-5=22

Simple and best practice solution for 6e^2x-5=22 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 6e^2x-5=22 equation:


Simplifying
6e2x + -5 = 22

Reorder the terms:
-5 + 6e2x = 22

Solving
-5 + 6e2x = 22

Solving for variable 'e'.

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

Add '5' to each side of the equation.
-5 + 5 + 6e2x = 22 + 5

Combine like terms: -5 + 5 = 0
0 + 6e2x = 22 + 5
6e2x = 22 + 5

Combine like terms: 22 + 5 = 27
6e2x = 27

Divide each side by '6x'.
e2 = 4.5x-1

Simplifying
e2 = 4.5x-1

Combine like terms: 4.5x-1 + -4.5x-1 = 0.0
e2 + -4.5x-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e2x + -4.5) = 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 + -4.5)' equal to zero and attempt to solve: Simplifying e2x + -4.5 = 0 Reorder the terms: -4.5 + e2x = 0 Solving -4.5 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + e2x = 0 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + e2x = 0 + 4.5 e2x = 0 + 4.5 Combine like terms: 0 + 4.5 = 4.5 e2x = 4.5 Divide each side by 'x'. e2 = 4.5x-1 Simplifying e2 = 4.5x-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:

| 3x^2-4x+5=k(x^2-x-2) | | 9x-6=10-x | | x*4+154=x | | x+2=1.25x | | X-7=11+2x | | x-8*6=-18 | | (X-3)/x=4/5 | | k=a+ba+b+k | | 24=4c-8 | | 6e-7=17 | | -2x+4=4x-26 | | 2y=(-1)-5 | | 104-7x(3.2-11)= | | -7(2t+1)=-35 | | 2(f-8)=0 | | 12x+3=99 | | 10(s-9)=-158 | | 15t=10 | | 2y=(1)-5 | | 4(a-1)=32 | | 2y=(0)-5 | | (q-6)*4=40 | | 2y=0-5 | | 3x+4(x-9)=20-4(3+x) | | 9x-4(2x+1)=0 | | 21/s=7 | | 4x-2(3-x)=6 | | 2(x+6)=95 | | 3y-8=5(y+4) | | 6=-2/3y | | -5/2u=-20 | | 5e^0.5/-0.1 |

Equations solver categories