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(3x-1)(10x+7)=0
We multiply parentheses ..
(+30x^2+21x-10x-7)=0
We get rid of parentheses
30x^2+21x-10x-7=0
We add all the numbers together, and all the variables
30x^2+11x-7=0
a = 30; b = 11; c = -7;
Δ = b2-4ac
Δ = 112-4·30·(-7)
Δ = 961
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{961}=31$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-31}{2*30}=\frac{-42}{60} =-7/10 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+31}{2*30}=\frac{20}{60} =1/3 $
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