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8z(z=6)
We move all terms to the left:
8z(z-(6))=0
We multiply parentheses
8z^2-48z=0
a = 8; b = -48; c = 0;
Δ = b2-4ac
Δ = -482-4·8·0
Δ = 2304
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{2304}=48$$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-48)-48}{2*8}=\frac{0}{16} =0 $$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-48)+48}{2*8}=\frac{96}{16} =6 $
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