4x(x-3)+2x(x-2)=9x2-12x+4-8

Simple and best practice solution for 4x(x-3)+2x(x-2)=9x2-12x+4-8 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 4x(x-3)+2x(x-2)=9x2-12x+4-8 equation:



4x(x-3)+2x(x-2)=9x^2-12x+4-8
We move all terms to the left:
4x(x-3)+2x(x-2)-(9x^2-12x+4-8)=0
We multiply parentheses
4x^2+2x^2-12x-4x-(9x^2-12x+4-8)=0
We get rid of parentheses
4x^2+2x^2-9x^2-12x-4x+12x-4+8=0
We add all the numbers together, and all the variables
-3x^2-4x+4=0
a = -3; b = -4; c = +4;
Δ = b2-4ac
Δ = -42-4·(-3)·4
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-8}{2*-3}=\frac{-4}{-6} =2/3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+8}{2*-3}=\frac{12}{-6} =-2 $

See similar equations:

| 48=3x/8 | | 2x+1+2x+3=19 | | X/5+x/3+x=9 | | 24=1c+2c | | 36=2u+2u | | 4=1w+2 | | 4(2×3)=2(x4) | | 216×=6x+10 | | 2v-66+122=180 | | 18=1m+11 | | 3/4(24-20t)=9t=2(5t=1) | | 13=1x+8 | | 30=1p+19 | | 19k−16k=15 | | -3x+5=3.5 | | (6x+7)/3=(9x+3)/7 | | 9x×15÷4=2x+13 | | 15=w+2w | | 8x+8=9x-29 | | x/15=32 | | 9+d=90 | | 5(10+10)/x=20 | | x*46=260 | | 5v-93=4v-66 | | 9x+64=4 | | 3x2+12=312 | | 2t=t+41 | | 4+8x-4=-26 | | y=17(4+10)-810/7-10 | | 3x2-6=0 | | x2-9=40 | | 0.002y-0.16y=0.7 |

Equations solver categories