(4x+7)(6x+6)=0

Solution for (4x+7)(6x+6)=0 equation:

(4x+7)(6x+6)=0

We multiply parentheses ..

(+24x^2+24x+42x+42)=0

We get rid of parentheses

24x^2+24x+42x+42=0

We add all the numbers together, and all the variables

24x^2+66x+42=0

a = 24; b = 66; c = +42;
Δ = b2-4ac
Δ = 662-4·24·42
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(66)-18}{2*24}=\frac{-84}{48}
=-1+3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(66)+18}{2*24}=\frac{-48}{48}
=-1
$