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8(4x-3)(6x+5)=0
We multiply parentheses ..
8(+24x^2+20x-18x-15)=0
We multiply parentheses
192x^2+160x-144x-120=0
We add all the numbers together, and all the variables
192x^2+16x-120=0
a = 192; b = 16; c = -120;
Δ = b2-4ac
Δ = 162-4·192·(-120)
Δ = 92416
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{92416}=304$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-304}{2*192}=\frac{-320}{384} =-5/6 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+304}{2*192}=\frac{288}{384} =3/4 $
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