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(2w+9)(8+w)=0
We add all the numbers together, and all the variables
(2w+9)(w+8)=0
We multiply parentheses ..
(+2w^2+16w+9w+72)=0
We get rid of parentheses
2w^2+16w+9w+72=0
We add all the numbers together, and all the variables
2w^2+25w+72=0
a = 2; b = 25; c = +72;
Δ = b2-4ac
Δ = 252-4·2·72
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{49}=7$$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-7}{2*2}=\frac{-32}{4} =-8 $$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+7}{2*2}=\frac{-18}{4} =-4+1/2 $
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