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w(2w+7)-99=0
We multiply parentheses
2w^2+7w-99=0
a = 2; b = 7; c = -99;
Δ = b2-4ac
Δ = 72-4·2·(-99)
Δ = 841
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{841}=29$$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-29}{2*2}=\frac{-36}{4} =-9 $$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+29}{2*2}=\frac{22}{4} =5+1/2 $
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