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(5x-2)(4x+3)=0
We multiply parentheses ..
(+20x^2+15x-8x-6)=0
We get rid of parentheses
20x^2+15x-8x-6=0
We add all the numbers together, and all the variables
20x^2+7x-6=0
a = 20; b = 7; c = -6;
Δ = b2-4ac
Δ = 72-4·20·(-6)
Δ = 529
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{529}=23$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-23}{2*20}=\frac{-30}{40} =-3/4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+23}{2*20}=\frac{16}{40} =2/5 $
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