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9v^2+7=30v+7
We move all terms to the left:
9v^2+7-(30v+7)=0
We get rid of parentheses
9v^2-30v-7+7=0
We add all the numbers together, and all the variables
9v^2-30v=0
a = 9; b = -30; c = 0;
Δ = b2-4ac
Δ = -302-4·9·0
Δ = 900
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{900}=30$$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-30}{2*9}=\frac{0}{18} =0 $$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+30}{2*9}=\frac{60}{18} =3+1/3 $
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