x*exp(3*x)=90+x^2

Simple and best practice solution for x*exp(3*x)=90+x^2 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 x*exp(3*x)=90+x^2 equation:


Simplifying
x * exp(3x) = 90 + x2

Remove parenthesis around (3x)
x * epx * 3x = 90 + x2

Reorder the terms for easier multiplication:
3x * epx * x = 90 + x2

Multiply x * epx
3epx2 * x = 90 + x2

Multiply epx2 * x
3epx3 = 90 + x2

Solving
3epx3 = 90 + x2

Solving for variable 'e'.

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

Divide each side by '3px3'.
e = 30p-1x-3 + 0.3333333333p-1x-1

Simplifying
e = 30p-1x-3 + 0.3333333333p-1x-1

See similar equations:

| 5y+2(y-4)=3(y+1)-2 | | 7*x=80 | | 3xlne=18 | | 7-3n=5-n | | 7-5x+3x=-13 | | 5(3x+25)=15x+125 | | -28=5n-3 | | 56c^2+23cw-63w^2=0 | | .10+10=.30+20 | | 10=6n-2 | | 9x-(3x+16)=26 | | 103=4x+x+(x-5) | | 4x+48=12 | | 7y-2=12y+33 | | -10+3=m-1 | | 3x-(2x+4)=4x-10 | | ex-(2x+4)=4x-10 | | 6-3x=5x-10x-16 | | 2+12y=-8y+2 | | 6-3x=5x-10-16 | | 14-2t=2 | | -5=0.33*-3+x | | cos(2x)+2=3sin(x) | | 2+14h=-3h+2 | | -4x+33=x-2 | | 3x+9=4y+18 | | -7(3a)+17+6a=81 | | 19=5b+24 | | 3(x+7)=5x+7 | | 0=9x^2-9x | | 5a^2-5a-25= | | f(x)=24-4x |

Equations solver categories