(3x-2)(4x-11)=0

Simple and best practice solution for (3x-2)(4x-11)=0 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-2)(4x-11)=0 equation:



(3x-2)(4x-11)=0
We multiply parentheses ..
(+12x^2-33x-8x+22)=0
We get rid of parentheses
12x^2-33x-8x+22=0
We add all the numbers together, and all the variables
12x^2-41x+22=0
a = 12; b = -41; c = +22;
Δ = b2-4ac
Δ = -412-4·12·22
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-41)-25}{2*12}=\frac{16}{24} =2/3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-41)+25}{2*12}=\frac{66}{24} =2+3/4 $

See similar equations:

| -9(x+3)+6=-21 | | 54=10 | | 12(2c-6)=7c-8 | | 54=10 | | 26x+7=5(5x+2) | | 2(5x+5)=-36+26 | | |3b-1|=0 | | |3b-1|=0b= | | (6-n)/8=-19 | | a1=2-3*1 | | 50t-26=5t+4 | | 2(1/2x+4x-7)=2(2x+3) | | (4x)=3x^2+5 | | 2(4x+8)=-49 | | 5x+7-2x+2=12 | | 4x–9=(x+3) | | 18s+30=3s | | 3^2(x+1)-8.3^(x+1)=9 | | 5m+0.050=0.732 | | 3^2(x+2)-8.3^x+1=9 | | 23x−8=20+19x | | -8+2|-8n-8|=8 | | -15s+45+5(3s-8)=0 | | 5x=65=40 | | (−2.2)(−3.8)=x | | 65=5x=40 | | 2(3g+20)-6g-40=0 | | 40=5x=65 | | -2(x-1)=8(2-2x) | | -2x^2-7x-30=0 | | 4(35t+10)=20(3t+22) | | -2(x+4)+5x=6x+4 |

Equations solver categories