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x(2x+7)=855
We move all terms to the left:
x(2x+7)-(855)=0
We multiply parentheses
2x^2+7x-855=0
a = 2; b = 7; c = -855;
Δ = b2-4ac
Δ = 72-4·2·(-855)
Δ = 6889
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{6889}=83$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-83}{2*2}=\frac{-90}{4} =-22+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+83}{2*2}=\frac{76}{4} =19 $
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