(2x+2)(6x)=15*16

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Solution for (2x+2)(6x)=15*16 equation:



(2x+2)(6x)=15*16
We move all terms to the left:
(2x+2)(6x)-(15*16)=0
We add all the numbers together, and all the variables
(2x+2)6x-240=0
We multiply parentheses
12x^2+12x-240=0
a = 12; b = 12; c = -240;
Δ = b2-4ac
Δ = 122-4·12·(-240)
Δ = 11664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11664}=108$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-108}{2*12}=\frac{-120}{24} =-5 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+108}{2*12}=\frac{96}{24} =4 $

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