(3x^2+9)/(x^2+5x-7)=3

Simple and best practice solution for (3x^2+9)/(x^2+5x-7)=3 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 (3x^2+9)/(x^2+5x-7)=3 equation:



(3x^2+9)/(x^2+5x-7)=3
We move all terms to the left:
(3x^2+9)/(x^2+5x-7)-(3)=0
Domain of the equation: (x^2+5x-7)!=0
We move all terms containing x to the left, all other terms to the right
x^2+5x!=7
x∈R
We multiply all the terms by the denominator
(3x^2+9)-3*(x^2+5x-7)=0
We multiply parentheses
-3x^2+(3x^2+9)-15x+21=0
We get rid of parentheses
-3x^2+3x^2-15x+9+21=0
We add all the numbers together, and all the variables
-15x+30=0
We move all terms containing x to the left, all other terms to the right
-15x=-30
x=-30/-15
x=+2

See similar equations:

| 4.5x-1.5-3x+15=14x-4 | | 4-7(5k+6)=k+34 | | (2x-2+22)/2=18 | | ((2x-2)+22))/2=18 | | y+3=12-2y | | -6(x+5)=-27-7x | | 5x*2-24x-5=0 | | 16=(4x+8) | | 190=6+4(7r-3) | | 7x^2-60x-27=0 | | 6+6a-6=4+4a+8 | | 3+2x-4+6x-12=6 | | 3/8x+3/4=7/8 | | -4x-5=3x+1 | | -43-4x=3-27x | | −1/2(−5z+4)=2+1/2z | | −12(−5z+4)=2+12z | | −12(−5z+4)=2+12z, | | -0.2x^2+1.3x=0 | | 6=1.5x-6 | | x=10√x | | 2(6x-1)=3(4x-1) | | 6x-26=2x+16 | | 8x-1=56 | | 5+11x=180 | | 18x+1=180 | | 84=3.5x-84 | | m^2-m-110=0 | | 8-x-3x=-14 | | 3x2+7x–5=0 | | 6w+9=51 | | 8•w=72 |

Equations solver categories