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(2x+20)(3x+7)=0
We multiply parentheses ..
(+6x^2+14x+60x+140)=0
We get rid of parentheses
6x^2+14x+60x+140=0
We add all the numbers together, and all the variables
6x^2+74x+140=0
a = 6; b = 74; c = +140;
Δ = b2-4ac
Δ = 742-4·6·140
Δ = 2116
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{2116}=46$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(74)-46}{2*6}=\frac{-120}{12} =-10 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(74)+46}{2*6}=\frac{-28}{12} =-2+1/3 $
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