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(2x+7)(5x+1)=0
We multiply parentheses ..
(+10x^2+2x+35x+7)=0
We get rid of parentheses
10x^2+2x+35x+7=0
We add all the numbers together, and all the variables
10x^2+37x+7=0
a = 10; b = 37; c = +7;
Δ = b2-4ac
Δ = 372-4·10·7
Δ = 1089
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{1089}=33$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(37)-33}{2*10}=\frac{-70}{20} =-3+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(37)+33}{2*10}=\frac{-4}{20} =-1/5 $
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