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(2x+16)(7x-14)=0
We multiply parentheses ..
(+14x^2-28x+112x-224)=0
We get rid of parentheses
14x^2-28x+112x-224=0
We add all the numbers together, and all the variables
14x^2+84x-224=0
a = 14; b = 84; c = -224;
Δ = b2-4ac
Δ = 842-4·14·(-224)
Δ = 19600
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{19600}=140$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(84)-140}{2*14}=\frac{-224}{28} =-8 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(84)+140}{2*14}=\frac{56}{28} =2 $
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