Solve for v 1.13=v*0.934-0.5*9.8*0.934^2

$1.13 = v \cdot 0.934 - 0.5 \cdot 9.8 \cdot {0.934}^{2}$

Rewrite the equation as $v \cdot 0.934 - 0.5 \cdot 9.8 \cdot {0.934}^{2} = 1.13$ .

$v \cdot 0.934 - 0.5 \cdot 9.8 \cdot {0.934}^{2} = 1.13$

Simplify each term.

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Move $0.934$ to the left of $v$ .

$0.934 \cdot v - 0.5 \cdot 9.8 \cdot {0.934}^{2} = 1.13$

Multiply $- 0.5$ by $9.8$ .

$0.934 v - 4.9 \cdot {0.934}^{2} = 1.13$

Raise $0.934$ to the power of $2$ .

$0.934 v - 4.9 \cdot 0.872356 = 1.13$

Multiply $- 4.9$ by $0.872356$ .

$0.934 v - 4.2745444 = 1.13$

Move all terms not containing $v$ to the right side of the equation.

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Add $4.2745444$ to both sides of the equation.

$0.934 v = 1.13 + 4.2745444$

Add $1.13$ and $4.2745444$ .

$0.934 v = 5.4045444$

Divide each term by $0.934$ and simplify.

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Divide each term in $0.934 v = 5.4045444$ by $0.934$ .

$\frac{0.934 v}{0.934} = \frac{5.4045444}{0.934}$

Cancel the common factor of $0.934$ .

$v = \frac{5.4045444}{0.934}$

Divide $5.4045444$ by $0.934$ .

$v = 5.7864501$

Solve for v 1.13=v*0.934-0.5*9.8*0.934^2

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