(2x+6)(x-4=)

Solution for (2x+6)(x-4=) equation:

(2x+6)(x-4=)

We move all terms to the left:

(2x+6)(x-4-())=0


We calculate terms in parentheses: +(2x+6)(x-4-()), so:

2x+6)(x-4-()

We add all the numbers together, and all the variables

2x+6)(x

Back to the equation:

+(2x+6)(x)


We multiply parentheses

2x^2+6x=0

a = 2; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·2·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6}{2*2}=\frac{-12}{4}
=-3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*2}=\frac{0}{4}
=0
$