Basic Math Examples

$0 = 0 + V (0.934) - \frac{1}{2} \cdot ((9.8) {(0.934)}^{2})$

Step 1

Rewrite the equation as $0 + V (0.934) - \frac{1}{2} \cdot 9.8 \cdot {0.934}^{2} = 0$ .

$0 + V (0.934) - \frac{1}{2} \cdot 9.8 \cdot {0.934}^{2} = 0$

Step 2

Simplify $0 + V (0.934) - \frac{1}{2} \cdot 9.8 \cdot {0.934}^{2}$ .

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Step 2.1

Add $0$ and $V (0.934)$ .

$V (0.934) - \frac{1}{2} \cdot 9.8 \cdot {0.934}^{2} = 0$

Step 2.2

Simplify each term.

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Step 2.2.1

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

$0.934 V - \frac{1}{2} \cdot 9.8 \cdot {0.934}^{2} = 0$

Step 2.2.2

Multiply $- \frac{1}{2} \cdot 9.8$ .

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Step 2.2.2.1

Multiply $9.8$ by $- 1$ .

$0.934 V - 9.8 (\frac{1}{2}) \cdot {0.934}^{2} = 0$

Step 2.2.2.2

Combine $- 9.8$ and $\frac{1}{2}$ .

$0.934 V + \frac{- 9.8}{2} \cdot {0.934}^{2} = 0$

Step 2.2.3

Divide $- 9.8$ by $2$ .

$0.934 V - 4.9 \cdot {0.934}^{2} = 0$

Step 2.2.4

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

$0.934 V - 4.9 \cdot 0.872356 = 0$

Step 2.2.5

Multiply $- 4.9$ by $0.872356$ .

$0.934 V - 4.2745444 = 0$

Step 3

Add $4.2745444$ to both sides of the equation.

$0.934 V = 4.2745444$

Step 4

Divide each term in $0.934 V = 4.2745444$ by $0.934$ and simplify.

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Step 4.1

Divide each term in $0.934 V = 4.2745444$ by $0.934$ .

$\frac{0.934 V}{0.934} = \frac{4.2745444}{0.934}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $0.934$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{0.934 V}{0.934} = \frac{4.2745444}{0.934}$

Step 4.2.1.2

Divide $V$ by $1$ .

$V = \frac{4.2745444}{0.934}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $4.2745444$ by $0.934$ .

$V = 4.5766$