(4x-1)(3-11x)=0

Solution for (4x-1)(3-11x)=0 equation:

(4x-1)(3-11x)=0

We add all the numbers together, and all the variables

(4x-1)(-11x+3)=0

We multiply parentheses ..

(-44x^2+12x+11x-3)=0

We get rid of parentheses

-44x^2+12x+11x-3=0

We add all the numbers together, and all the variables

-44x^2+23x-3=0

a = -44; b = 23; c = -3;
Δ = b2-4ac
Δ = 232-4·(-44)·(-3)
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(23)-1}{2*-44}=\frac{-24}{-88}
=3/11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(23)+1}{2*-44}=\frac{-22}{-88}
=1/4
$