(5x+2)(14x+6)=0

Solution for (5x+2)(14x+6)=0 equation:

(5x+2)(14x+6)=0

We multiply parentheses ..

(+70x^2+30x+28x+12)=0

We get rid of parentheses

70x^2+30x+28x+12=0

We add all the numbers together, and all the variables

70x^2+58x+12=0

a = 70; b = 58; c = +12;
Δ = b2-4ac
Δ = 582-4·70·12
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(58)-2}{2*70}=\frac{-60}{140}
=-3/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(58)+2}{2*70}=\frac{-56}{140}
=-2/5
$