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(2x+14)(2x-1)=0
We multiply parentheses ..
(+4x^2-2x+28x-14)=0
We get rid of parentheses
4x^2-2x+28x-14=0
We add all the numbers together, and all the variables
4x^2+26x-14=0
a = 4; b = 26; c = -14;
Δ = b2-4ac
Δ = 262-4·4·(-14)
Δ = 900
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{900}=30$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(26)-30}{2*4}=\frac{-56}{8} =-7 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(26)+30}{2*4}=\frac{4}{8} =1/2 $
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