3x(x-9)-2=-35

Simple and best practice solution for 3x(x-9)-2=-35 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(x-9)-2=-35 equation:



3x(x-9)-2=-35
We move all terms to the left:
3x(x-9)-2-(-35)=0
We add all the numbers together, and all the variables
3x(x-9)+33=0
We multiply parentheses
3x^2-27x+33=0
a = 3; b = -27; c = +33;
Δ = b2-4ac
Δ = -272-4·3·33
Δ = 333
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{333}=\sqrt{9*37}=\sqrt{9}*\sqrt{37}=3\sqrt{37}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-27)-3\sqrt{37}}{2*3}=\frac{27-3\sqrt{37}}{6} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27)+3\sqrt{37}}{2*3}=\frac{27+3\sqrt{37}}{6} $

See similar equations:

| 1+7k=77 | | 72x=384+8x | | 5x-5+1x=12x-32 | | -7+14=2y-4 | | 7x+10+2x=x+34 | | 22=-3+4(x-5) | | 8x+9=8x+-5 | | n-7=-3n-5 | | 1/3(18+12x0)=6(2x-7) | | 5(z-3)+2=5(2z-8)-3 | | (3x-9)°=(2.5x+15)° | | 16s-9s+-16s+-10s=19 | | (5x+45)+4=360 | | 2x-10+2x+50=90 | | (3x-15)=99 | | 4-x/3=-8 | | 4x-29-6-2x-18=13 | | 32=5b+4b-b-12 | | H(x)=1/2x-14H(-4) | | -21-2r=-5-3 | | k-4=8.2 | | 5x-5+x=12x-32 | | U+3+3u=-3+4u+6 | | x+3/12=5 | | x+2x-5=360 | | 8x-4+3x=+106 | | 18=-8x+10 | | 34-5y=4{1-2y} | | |8+2b|-3=9 | | 2(3y-3)=18 | | 7x+3=3x-25 | | 6=−2(10n+7) |

Equations solver categories