(7x+5)(11x-3)=x

Simple and best practice solution for (7x+5)(11x-3)=x 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 (7x+5)(11x-3)=x equation:



(7x+5)(11x-3)=x
We move all terms to the left:
(7x+5)(11x-3)-(x)=0
We add all the numbers together, and all the variables
-1x+(7x+5)(11x-3)=0
We multiply parentheses ..
(+77x^2-21x+55x-15)-1x=0
We get rid of parentheses
77x^2-21x+55x-1x-15=0
We add all the numbers together, and all the variables
77x^2+33x-15=0
a = 77; b = 33; c = -15;
Δ = b2-4ac
Δ = 332-4·77·(-15)
Δ = 5709
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(33)-\sqrt{5709}}{2*77}=\frac{-33-\sqrt{5709}}{154} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33)+\sqrt{5709}}{2*77}=\frac{-33+\sqrt{5709}}{154} $

See similar equations:

| -3m+8=-31 | | 6x+1+61=180 | | -7(z-99)=77 | | 0.1(x+54)=-2(3-x) | | -3(5m-6)=-132 | | 5(m+7)=35 | | -3+5x+4=-9 | | 4-2y-(5-3y)=y-1-(y-8) | | 5=-3v+8v | | w|-4+17=9 | | 6k-4=74 | | 9/17=-5x+7=-10+4x | | a+4a=-20 | | 1/6m=3 | | –2g=884 | | b-40/8=5 | | 13-2y=-37 | | 3x+4=−17 | | 6(-5+2x)=6 | | -4x+6x=-14 | | 200/x=5x+30 | | x+27=68 | | 5a+8=3a+22 | | -4(2x*(-5))=9 | | 30.16x=17.56+5x | | 6(2y/4)=0 | | -42=-6.0k | | 15+7s=85 | | 9*10^(n+1)=1 | | 2v-8v=42 | | 2w-75=21 | | 3y+-6=-28 |

Equations solver categories