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(-7/6)v=-28
We move all terms to the left:
(-7/6)v-(-28)=0
Domain of the equation: 6)v!=0We add all the numbers together, and all the variables
v!=0/1
v!=0
v∈R
(-7/6)v+28=0
We multiply parentheses
-7v^2+28=0
a = -7; b = 0; c = +28;
Δ = b2-4ac
Δ = 02-4·(-7)·28
Δ = 784
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{784}=28$$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28}{2*-7}=\frac{-28}{-14} =+2 $$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28}{2*-7}=\frac{28}{-14} =-2 $
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