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(8v-7)(v-1)=0
We multiply parentheses ..
(+8v^2-8v-7v+7)=0
We get rid of parentheses
8v^2-8v-7v+7=0
We add all the numbers together, and all the variables
8v^2-15v+7=0
a = 8; b = -15; c = +7;
Δ = b2-4ac
Δ = -152-4·8·7
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1}=1$$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-1}{2*8}=\frac{14}{16} =7/8 $$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+1}{2*8}=\frac{16}{16} =1 $
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