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(4x-3)(5+2x)=0
We add all the numbers together, and all the variables
(4x-3)(2x+5)=0
We multiply parentheses ..
(+8x^2+20x-6x-15)=0
We get rid of parentheses
8x^2+20x-6x-15=0
We add all the numbers together, and all the variables
8x^2+14x-15=0
a = 8; b = 14; c = -15;
Δ = b2-4ac
Δ = 142-4·8·(-15)
Δ = 676
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{676}=26$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-26}{2*8}=\frac{-40}{16} =-2+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+26}{2*8}=\frac{12}{16} =3/4 $
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