(5x+5)(3x-2)=54

Solution for (5x+5)(3x-2)=54 equation:

(5x+5)(3x-2)=54

We move all terms to the left:

(5x+5)(3x-2)-(54)=0

We multiply parentheses ..

(+15x^2-10x+15x-10)-54=0

We get rid of parentheses

15x^2-10x+15x-10-54=0

We add all the numbers together, and all the variables

15x^2+5x-64=0

a = 15; b = 5; c = -64;
Δ = b2-4ac
Δ = 52-4·15·(-64)
Δ = 3865
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-\sqrt{3865}}{2*15}=\frac{-5-\sqrt{3865}}{30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{3865}}{2*15}=\frac{-5+\sqrt{3865}}{30}
$