3(e^2x+1)-2=10

Simple and best practice solution for 3(e^2x+1)-2=10 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 3(e^2x+1)-2=10 equation: 


Simplifying
3(e2x + 1) + -2 = 10

Reorder the terms:
3(1 + e2x) + -2 = 10
(1 * 3 + e2x * 3) + -2 = 10
(3 + 3e2x) + -2 = 10

Reorder the terms:
3 + -2 + 3e2x = 10

Combine like terms: 3 + -2 = 1
1 + 3e2x = 10

Solving
1 + 3e2x = 10

Solving for variable 'e'.

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

Add '-1' to each side of the equation.
1 + -1 + 3e2x = 10 + -1

Combine like terms: 1 + -1 = 0
0 + 3e2x = 10 + -1
3e2x = 10 + -1

Combine like terms: 10 + -1 = 9
3e2x = 9

Divide each side by '3x'.
e2 = 3x-1

Simplifying
e2 = 3x-1

Combine like terms: 3x-1 + -3x-1 = 0
e2 + -3x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e2x + -3) = 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 + -3)' equal to zero and attempt to solve:

Simplifying
e2x + -3 = 0

Reorder the terms:
-3 + e2x = 0

Solving
-3 + e2x = 0

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

Add '3' to each side of the equation.
-3 + 3 + e2x = 0 + 3

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

Combine like terms: 0 + 3 = 3
e2x = 3

Divide each side by 'x'.
e2 = 3x-1

Simplifying
e2 = 3x-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:

| 5(5)+2x=15 | | (3e^2x+1)-2=10 | | 2(0)+3x(0)=10-x | | 4u-3=2(2-u)-1 | | 5a+5,25,a= | | -x-2(1)-3=1 | | 15+0.50p=25+0.25p | | 4k+2n=n-3 | | x+35=58 | | 2x-x(-2)=2 | | -3x+8=108+7x | | 5(x+15)=3(4x-3) | | 27-7=3 | | 4x+2x+9=-15 | | .6666666666a+2=2+a | | (6y+9)-(-9y^2-7y+9)= | | 6+8(4w-7)-(2w+1)= | | -1-2y-3=1 | | 11-2=12 | | 5x+142=11x-14 | | 4x-(-2x+9)=-15 | | 2y+3(0)y=10-x | | 9(2k-4)-2(7k-12)= | | -6x-x-47=58 | | (3)y+y=y+12 | | f(x)=x^2+8x-3 | | (3)y+y=y | | x-3+5=6 | | -61+7x-11x=23 | | 11+5a-7=(-4)-3a | | 8(-3)+6y=12 | | 4+5x=2x+4 |

Equations solver categories