4-3e^2x=-6

Simple and best practice solution for 4-3e^2x=-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 4-3e^2x=-6 equation:


Simplifying
4 + -3e2x = -6

Solving
4 + -3e2x = -6

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 + -3e2x = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -3e2x = -6 + -4
-3e2x = -6 + -4

Combine like terms: -6 + -4 = -10
-3e2x = -10

Divide each side by '-3x'.
e2 = 3.333333333x-1

Simplifying
e2 = 3.333333333x-1

Combine like terms: 3.333333333x-1 + -3.333333333x-1 = 0.000000000
e2 + -3.333333333x-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e2x + -3.333333333) = 0.000000000

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 + -3.333333333)' equal to zero and attempt to solve: Simplifying e2x + -3.333333333 = 0 Reorder the terms: -3.333333333 + e2x = 0 Solving -3.333333333 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '3.333333333' to each side of the equation. -3.333333333 + 3.333333333 + e2x = 0 + 3.333333333 Combine like terms: -3.333333333 + 3.333333333 = 0.000000000 0.000000000 + e2x = 0 + 3.333333333 e2x = 0 + 3.333333333 Combine like terms: 0 + 3.333333333 = 3.333333333 e2x = 3.333333333 Divide each side by 'x'. e2 = 3.333333333x-1 Simplifying e2 = 3.333333333x-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:

| 4n+4=100 | | (5x-4)+(4x+3)= | | (3y^2-5y+3)-(6y^2-5y+4)= | | e^5x-32=96 | | 4x+8y=2.3 | | -8+10x=15 | | -7x-12=72 | | cake= | | -3x-(-6.3)=-4.5 | | 7h-21=28 | | 2x+2=y+4 | | x-3ln(2x+5)+2=0 | | 55-27= | | -3.4+x=-10 | | 2p^2-1p-10=0 | | 8m-12=60 | | (4y-5x+7)2=0 | | 6y^2+17x-39=0 | | (4y-3y-18)2=0 | | 6k^2+40k=64 | | 2x+4=6y+8 | | 2log(4x+5)=0 | | 6x-(-4+8x)= | | 6x-(4+8x)= | | (8-6j)-(2j-7)= | | x^2-3xy+2y^2=13 | | (3+2j)+(-7-j)= | | 34+x=12 | | -2x+4=x-3 | | 26x^6+52x^5+39x^2= | | 6x^6+52x^5+39x^2= | | (x+2y)*dx-(2x-y)*dy=0 |

Equations solver categories