(11x+7)(4x-7)=0

Solution for (11x+7)(4x-7)=0 equation:

(11x+7)(4x-7)=0

We multiply parentheses ..

(+44x^2-77x+28x-49)=0

We get rid of parentheses

44x^2-77x+28x-49=0

We add all the numbers together, and all the variables

44x^2-49x-49=0

a = 44; b = -49; c = -49;
Δ = b2-4ac
Δ = -492-4·44·(-49)
Δ = 11025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11025}=105$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-49)-105}{2*44}=\frac{-56}{88}
=-7/11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-49)+105}{2*44}=\frac{154}{88}
=1+3/4
$