Basic Math Examples

$1.4 = 0 + V (0.475) - \frac{1}{2} \cdot 9.8 {(0.475)}^{2}$

Step 1

Rewrite the equation as $0 + V (0.475) - \frac{1}{2} \cdot (9.8 {(0.475)}^{2}) = 1.4$ .

$0 + V (0.475) - \frac{1}{2} \cdot (9.8 {(0.475)}^{2}) = 1.4$

Step 2

Simplify $0 + V (0.475) - \frac{1}{2} \cdot (9.8 {(0.475)}^{2})$ .

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Step 2.1

Add $0$ and $V (0.475)$ .

$V (0.475) - \frac{1}{2} \cdot (9.8 {(0.475)}^{2}) = 1.4$

Step 2.2

Simplify each term.

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Step 2.2.1

Move $0.475$ to the left of $V$ .

$0.475 V - \frac{1}{2} \cdot (9.8 {(0.475)}^{2}) = 1.4$

Step 2.2.2

Raise $0.475$ to the power of $2$ .

$0.475 V - \frac{1}{2} \cdot (9.8 \cdot 0.225625) = 1.4$

Step 2.2.3

Multiply $9.8$ by $0.225625$ .

$0.475 V - \frac{1}{2} \cdot 2.211125 = 1.4$

Step 2.2.4

Multiply $- \frac{1}{2} \cdot 2.211125$ .

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Step 2.2.4.1

Multiply $2.211125$ by $- 1$ .

$0.475 V - 2.211125 (\frac{1}{2}) = 1.4$

Step 2.2.4.2

Combine $- 2.211125$ and $\frac{1}{2}$ .

$0.475 V + \frac{- 2.211125}{2} = 1.4$

Step 2.2.5

Divide $- 2.211125$ by $2$ .

$0.475 V - 1.1055625 = 1.4$

Step 3

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

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Step 3.1

Add $1.1055625$ to both sides of the equation.

$0.475 V = 1.4 + 1.1055625$

Step 3.2

Add $1.4$ and $1.1055625$ .

$0.475 V = 2.5055625$

Step 4

Divide each term in $0.475 V = 2.5055625$ by $0.475$ and simplify.

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Step 4.1

Divide each term in $0.475 V = 2.5055625$ by $0.475$ .

$\frac{0.475 V}{0.475} = \frac{2.5055625}{0.475}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $0.475$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{0.475 V}{0.475} = \frac{2.5055625}{0.475}$

Step 4.2.1.2

Divide $V$ by $1$ .

$V = \frac{2.5055625}{0.475}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $2.5055625$ by $0.475$ .

$V = 5.27486842$