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(9-v)(4v-7)=0
We add all the numbers together, and all the variables
(-1v+9)(4v-7)=0
We multiply parentheses ..
(-4v^2+7v+36v-63)=0
We get rid of parentheses
-4v^2+7v+36v-63=0
We add all the numbers together, and all the variables
-4v^2+43v-63=0
a = -4; b = 43; c = -63;
Δ = b2-4ac
Δ = 432-4·(-4)·(-63)
Δ = 841
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{841}=29$$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(43)-29}{2*-4}=\frac{-72}{-8} =+9 $$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(43)+29}{2*-4}=\frac{-14}{-8} =1+3/4 $
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