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(7x-2)(3x+1)=0
We multiply parentheses ..
(+21x^2+7x-6x-2)=0
We get rid of parentheses
21x^2+7x-6x-2=0
We add all the numbers together, and all the variables
21x^2+x-2=0
a = 21; b = 1; c = -2;
Δ = b2-4ac
Δ = 12-4·21·(-2)
Δ = 169
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{169}=13$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-13}{2*21}=\frac{-14}{42} =-1/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+13}{2*21}=\frac{12}{42} =2/7 $
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