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(7x+16)(5x-11)=0
We multiply parentheses ..
(+35x^2-77x+80x-176)=0
We get rid of parentheses
35x^2-77x+80x-176=0
We add all the numbers together, and all the variables
35x^2+3x-176=0
a = 35; b = 3; c = -176;
Δ = b2-4ac
Δ = 32-4·35·(-176)
Δ = 24649
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{24649}=157$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-157}{2*35}=\frac{-160}{70} =-2+2/7 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+157}{2*35}=\frac{154}{70} =2+1/5 $
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