3(2x-1)+2x(2x-1)=11

Simple and best practice solution for 3(2x-1)+2x(2x-1)=11 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 3(2x-1)+2x(2x-1)=11 equation:



3(2x-1)+2x(2x-1)=11
We move all terms to the left:
3(2x-1)+2x(2x-1)-(11)=0
We multiply parentheses
4x^2+6x-2x-3-11=0
We add all the numbers together, and all the variables
4x^2+4x-14=0
a = 4; b = 4; c = -14;
Δ = b2-4ac
Δ = 42-4·4·(-14)
Δ = 240
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:
$\sqrt{\Delta}=\sqrt{240}=\sqrt{16*15}=\sqrt{16}*\sqrt{15}=4\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4\sqrt{15}}{2*4}=\frac{-4-4\sqrt{15}}{8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4\sqrt{15}}{2*4}=\frac{-4+4\sqrt{15}}{8} $

See similar equations:

| y+24=24 | | 5(2x+4)-2x=20 | | x2+3x-34=0 | | x+10+4x+25+x+5=180 | | 3p–8=19 | | 2x-16=-76 | | -6(3m-3)=-90 | | 37-n=8 | | 8x=100x28 | | 2x+8=$x+6 | | P(x)=4(0)-5 | | 2t-13=-3 | | •5x+3=7x–1 | | x+25=-12 | | 3(y-7)=275 | | P(-9)=4(x)-5 | | P(x)=4(4)-5 | | 5(m-7)=-30 | | 9x-18-7x-7=-15 | | P(x4)=4(x)-5 | | P(x)=4(-2)-5 | | 4(2-6v)=-18 | | 12x+(13x-19)-(11x+15)=25-(17-13x) | | 4x-8=8x-3-12 | | P(3)=4(x)-5 | | 24=4(12-s) | | P(x3)=4(x)-5 | | P(x0)=4(x0)-5 | | x-10+3x+30=180 | | x=2x^2-8x+5 | | P(x-9)=4(x-9)-5 | | P(x4)=4(x4)-5 |

Equations solver categories