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(5x+15)(2+x)=0
We add all the numbers together, and all the variables
(5x+15)(x+2)=0
We multiply parentheses ..
(+5x^2+10x+15x+30)=0
We get rid of parentheses
5x^2+10x+15x+30=0
We add all the numbers together, and all the variables
5x^2+25x+30=0
a = 5; b = 25; c = +30;
Δ = b2-4ac
Δ = 252-4·5·30
Δ = 25
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{25}=5$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-5}{2*5}=\frac{-30}{10} =-3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+5}{2*5}=\frac{-20}{10} =-2 $
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