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(3x+7)(10x-1)=0
We multiply parentheses ..
(+30x^2-3x+70x-7)=0
We get rid of parentheses
30x^2-3x+70x-7=0
We add all the numbers together, and all the variables
30x^2+67x-7=0
a = 30; b = 67; c = -7;
Δ = b2-4ac
Δ = 672-4·30·(-7)
Δ = 5329
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{5329}=73$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(67)-73}{2*30}=\frac{-140}{60} =-2+1/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(67)+73}{2*30}=\frac{6}{60} =1/10 $
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