(x-6)(x-7)=(x+3)(x-7)

Simple and best practice solution for (x-6)(x-7)=(x+3)(x-7) 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-6)(x-7)=(x+3)(x-7) equation: 



(x-6)(x-7)=(x+3)(x-7)

We move all terms to the left:

(x-6)(x-7)-((x+3)(x-7))=0

We multiply parentheses ..

(+x^2-7x-6x+42)-((x+3)(x-7))=0



We calculate terms in parentheses: -((x+3)(x-7)), so:

(x+3)(x-7)

We multiply parentheses ..

(+x^2-7x+3x-21)

We get rid of parentheses

x^2-7x+3x-21

We add all the numbers together, and all the variables

x^2-4x-21

Back to the equation:

-(x^2-4x-21)



We get rid of parentheses

x^2-x^2-7x-6x+4x+42+21=0

We add all the numbers together, and all the variables

-9x+63=0

We move all terms containing x to the left, all other terms to the right

-9x=-63

x=-63/-9

x=+7

See similar equations:

| 2y=1/2-6 | | 2x-18=x-23 | | 1/4m=4/3 | | 0.10=1-p*0.98p*0.98^2p | | x^2-120x+2750=0 | | -12+n=24 | | 2.07v+2.79v-4.98=1.05 | | 2x-18=x-22 | | 21+73=7x+6-20x | | 7/3y+7/8y-3/4=15/8 | | 2÷3h=30 | | 4t2–15=0 | | 4t2+28(0)–15=0 | | 9+6=2x+3 | | 12y^2-48y-156=0 | | 4t2+28t–15=0 | | 5x^2-80x-9600=0 | | 6(t-3)=2-(9-2t) | | r2+4r-7=0 | | 14m-8=20 | | x2+15x=−56 | | 4-(x+2)=-2x+1 | | -2x+6x=6 | | -7x+8(1/3)=-5 | | x=39-12 | | (8x-7)^2=0 | | -1/2(8r+6)+7(7r+4)=-19 | | -1/2(8r+6)+7(7r+4=-19 | | 4r+10=2(r+5) | | u+1=19 | | 2k+6k-6=2(4k-3) | | 13/5=t−13/6​ |

Equations solver categories