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(4x-6)(2x+3)=0
We multiply parentheses ..
(+8x^2+12x-12x-18)=0
We get rid of parentheses
8x^2+12x-12x-18=0
We add all the numbers together, and all the variables
8x^2-18=0
a = 8; b = 0; c = -18;
Δ = b2-4ac
Δ = 02-4·8·(-18)
Δ = 576
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{576}=24$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24}{2*8}=\frac{-24}{16} =-1+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24}{2*8}=\frac{24}{16} =1+1/2 $
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