Solve 10=V1.9-1/2*10*1.9^2

$$10 = V1.9- \frac{ 1 }{ 2 } \times 10 \times { 1.9 }^{ 2 }$$

Solve for V_1

$$V_{1} = \frac{187}{6} = 31\frac{1}{6} \approx 31.166666667$$

Steps for Solving Linear Equation

Multiply \frac{1}{2} and 10 to get \frac{10}{2}.

$$10=V_{1}\times 0.9-\frac{10}{2}\times 1.9^{2}$$

Divide 10 by 2 to get 5.

$$10=V_{1}\times 0.9-5\times 1.9^{2}$$

Calculate 1.9 to the power of 2 and get 3.61.

$$10=V_{1}\times 0.9-5\times 3.61$$

Multiply 5 and 3.61 to get 18.05.

$$10=V_{1}\times 0.9-18.05$$

Swap sides so that all variable terms are on the left hand side.

$$V_{1}\times 0.9-18.05=10$$

Add 18.05 to both sides.

$$V_{1}\times 0.9=10+18.05$$

Add 10 and 18.05 to get 28.05.

$$V_{1}\times 0.9=28.05$$

Divide both sides by 0.9.

$$V_{1}=\frac{28.05}{0.9}$$

Expand \frac{28.05}{0.9} by multiplying both numerator and the denominator by 100.

$$V_{1}=\frac{2805}{90}$$

Reduce the fraction \frac{2805}{90} to lowest terms by extracting and canceling out 15.

$$V_{1}=\frac{187}{6}$$