7e^2x+2.5=20

Simple and best practice solution for 7e^2x+2.5=20 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 7e^2x+2.5=20 equation: 


Simplifying
7e2x + 2.5 = 20

Reorder the terms:
2.5 + 7e2x = 20

Solving
2.5 + 7e2x = 20

Solving for variable 'e'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 7e2x = 20 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 7e2x = 20 + -2.5
7e2x = 20 + -2.5

Combine like terms: 20 + -2.5 = 17.5
7e2x = 17.5

Divide each side by '7x'.
e2 = 2.5x-1

Simplifying
e2 = 2.5x-1

Combine like terms: 2.5x-1 + -2.5x-1 = 0.0
e2 + -2.5x-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e2x + -2.5) = 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 + -2.5)' equal to zero and attempt to solve:

Simplifying
e2x + -2.5 = 0

Reorder the terms:
-2.5 + e2x = 0

Solving
-2.5 + e2x = 0

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + e2x = 0 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + e2x = 0 + 2.5
e2x = 0 + 2.5

Combine like terms: 0 + 2.5 = 2.5
e2x = 2.5

Divide each side by 'x'.
e2 = 2.5x-1

Simplifying
e2 = 2.5x-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:

| 3r*r=27 | | 2x^2-27x+96=0 | | -3y(2y+4)= | | 2x+12=110-5x | | x-1.6=-6 | | 9x^2+3x=2 | | 4x+7y=12 | | 13y=(12+z)w | | 6x-7=5x+10 | | 5x+3y=22 | | 12x^2=2x+4 | | 3x^2-10=12-31x | | 6x^2-24=y | | 6x=4-18x^2 | | h=-5t^2+6t+3 | | 3x^2+6x=24 | | 3x^2=-2x | | 3x-13=-1 | | x-7.9=-4.4 | | X^2+120=-22x | | 28=4x-12 | | (-6)+x=49 | | x^2-16x+65=0 | | 7.52-s=2.9 | | 0=4x^2+95x-30 | | 2x+3y=6Y | | -9x+13=94 | | x-2y=-10 | | s=4h-4u | | -2x+3=31 | | 4b-7=2b+11 | | 7x^2+36x+8=0 |

Equations solver categories