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(12x+8)(4x+14)-(5x+11)(12x+8)=0
We multiply parentheses ..
(+48x^2+168x+32x+112)-(5x+11)(12x+8)=0
We get rid of parentheses
48x^2+168x+32x-(5x+11)(12x+8)+112=0
We multiply parentheses ..
48x^2-(+60x^2+40x+132x+88)+168x+32x+112=0
We add all the numbers together, and all the variables
48x^2-(+60x^2+40x+132x+88)+200x+112=0
We get rid of parentheses
48x^2-60x^2-40x-132x+200x-88+112=0
We add all the numbers together, and all the variables
-12x^2+28x+24=0
a = -12; b = 28; c = +24;
Δ = b2-4ac
Δ = 282-4·(-12)·24
Δ = 1936
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{1936}=44$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(28)-44}{2*-12}=\frac{-72}{-24} =+3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(28)+44}{2*-12}=\frac{16}{-24} =-2/3 $
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