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6(4x-7)(6x+5)=0
We multiply parentheses ..
6(+24x^2+20x-42x-35)=0
We multiply parentheses
144x^2+120x-252x-210=0
We add all the numbers together, and all the variables
144x^2-132x-210=0
a = 144; b = -132; c = -210;
Δ = b2-4ac
Δ = -1322-4·144·(-210)
Δ = 138384
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{138384}=372$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-132)-372}{2*144}=\frac{-240}{288} =-5/6 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-132)+372}{2*144}=\frac{504}{288} =1+3/4 $
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