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4(2x-1)(3x+6)=0
We multiply parentheses ..
4(+6x^2+12x-3x-6)=0
We multiply parentheses
24x^2+48x-12x-24=0
We add all the numbers together, and all the variables
24x^2+36x-24=0
a = 24; b = 36; c = -24;
Δ = b2-4ac
Δ = 362-4·24·(-24)
Δ = 3600
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{3600}=60$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(36)-60}{2*24}=\frac{-96}{48} =-2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+60}{2*24}=\frac{24}{48} =1/2 $
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