17-x(x-3)=-66

Simple and best practice solution for 17-x(x-3)=-66 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 17-x(x-3)=-66 equation:



17-x(x-3)=-66
We move all terms to the left:
17-x(x-3)-(-66)=0
We add all the numbers together, and all the variables
-x(x-3)+83=0
We multiply parentheses
-x^2+3x+83=0
We add all the numbers together, and all the variables
-1x^2+3x+83=0
a = -1; b = 3; c = +83;
Δ = b2-4ac
Δ = 32-4·(-1)·83
Δ = 341
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{-(3)-\sqrt{341}}{2*-1}=\frac{-3-\sqrt{341}}{-2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{341}}{2*-1}=\frac{-3+\sqrt{341}}{-2} $

See similar equations:

| 4x-18+1=-9 | | 45=3u+15 | | -1/4x=11 | | -2p+15=11 | | -3m=63 | | 41=|x-6|+18 | | 18=-4t-2 | | 12=6+y | | 4.1+2(y-5)=6y+7.3 | | 75=5-7u | | 556=2v | | f/2-21=-26 | | 8x−5=2x−6 | | –4(x–3)=20. | | 8-(3y-9)=2-4y | | 8(x+6)+4=−9(x−4)−11 | | 7x+5+4–9x=x+2–4+8x | | g/3+18=27 | | 10b+5=886=12 | | 8(x+6)+4=−9(x−4)−118(x+6)+4=-9(x-4)-11 | | |5-10x|=2 | | -3x+5-7x=35 | | 8x−8=5x+25​ | | 7w-9=3w+7 | | -3(x-5)+3(7-2x)=-10(x-6)-6 | | -31-4x=-5-5(6x+4)-4 | | 10b+5=88 | | 6c-2=4c-12 | | 4(x-6)=2x-12 | | 2x-5(x-2)=-5+2x-25 | | 4x-(7x+3)=9 | | 2(2x-5)=-34 |

Equations solver categories