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(6z+7)(2z-7)=0
We multiply parentheses ..
(+12z^2-42z+14z-49)=0
We get rid of parentheses
12z^2-42z+14z-49=0
We add all the numbers together, and all the variables
12z^2-28z-49=0
a = 12; b = -28; c = -49;
Δ = b2-4ac
Δ = -282-4·12·(-49)
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{3136}=56$$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-28)-56}{2*12}=\frac{-28}{24} =-1+1/6 $$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-28)+56}{2*12}=\frac{84}{24} =3+1/2 $
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