(x-2)(3x-7)=24

Simple and best practice solution for (x-2)(3x-7)=24 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-2)(3x-7)=24 equation:



(x-2)(3x-7)=24
We move all terms to the left:
(x-2)(3x-7)-(24)=0
We multiply parentheses ..
(+3x^2-7x-6x+14)-24=0
We get rid of parentheses
3x^2-7x-6x+14-24=0
We add all the numbers together, and all the variables
3x^2-13x-10=0
a = 3; b = -13; c = -10;
Δ = b2-4ac
Δ = -132-4·3·(-10)
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-13)-17}{2*3}=\frac{-4}{6} =-2/3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+17}{2*3}=\frac{30}{6} =5 $

See similar equations:

| 7(-8-6b)=5b+38 | | x-8000=328432 | | 48+.99x=0+1.29x | | x/8=7/6 | | -7.9z+1.4=6.5 | | X^3+3x2-2x-16=0 | | 1/2(2x-6)+5=2/3x+9+7/3x | | X3+3x2-2x-16=0 | | 3(x-5)=2(x-6)+2 | | 12(2x-(5+6))=3x+(6x7) | | x-5=3+1 | | -4x-16x=16 | | (2n)^2-38n+180=0 | | 4x/28=71/7 | | 12x^2+5x-36=0 | | (3x+5)(4x+1)=-5 | | 6r^2-11r=-4 | | 2w+2(w+41/4)=1281/2 | | 4/5y-1/2y=6 | | 3/2x+2=1/2+1/2x | | 9x-(2x+6)=8x-16 | | 2(3x+7)=(9x-10) | | (4x-3)^2=36 | | 10+7x=14x+-7+3 | | 7n=7n–2 | | x-10.7=22.8 | | 6x^2+18x+1300=0 | | -9v+5=5+8v | | 10m-15+5m=-36 | | 6x^2-19x=x^2-12 | | (x+6)/(x-2)=3/(x+2)+32/(x^2-4) | | x^2-2x=13x-54 |

Equations solver categories