Basic Math Examples

$\frac{2.9 - v}{- 3.8} = - 8.9$

Step 1

Multiply both sides by $- 3.8$ .

$\frac{2.9 - v}{- 3.8} \cdot - 3.8 = - 8.9 \cdot - 3.8$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{2.9 - v}{- 3.8} \cdot - 3.8$ .

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Step 2.1.1.1

Factor $0.1$ out of $2.9 - v$ .

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Step 2.1.1.1.1

Factor $0.1$ out of $2.9$ .

$\frac{0.1 (29) - v}{- 3.8} \cdot - 3.8 = - 8.9 \cdot - 3.8$

Step 2.1.1.1.2

Factor $0.1$ out of $- v$ .

$\frac{0.1 (29) + 0.1 (- 10 v)}{- 3.8} \cdot - 3.8 = - 8.9 \cdot - 3.8$

Step 2.1.1.1.3

Factor $0.1$ out of $0.1 (29) + 0.1 (- 10 v)$ .

$\frac{0.1 (29 - 10 v)}{- 3.8} \cdot - 3.8 = - 8.9 \cdot - 3.8$

Step 2.1.1.2

Cancel the common factor of $0.1$ .

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Step 2.1.1.2.1

Cancel the common factor.

$\frac{0.1 (29 - 10 v)}{- 3.8} \cdot - 3.8 = - 8.9 \cdot - 3.8$

Step 2.1.1.2.2

Rewrite the expression.

$\frac{29 - 10 v}{- 3.8} \cdot \frac{- 3.8}{10} = - 8.9 \cdot - 3.8$

Step 2.1.1.3

Cancel the common factor of $3.8$ .

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Step 2.1.1.3.1

Factor $3.8$ out of $- 3.8$ .

$\frac{29 - 10 v}{3.8 (- 1)} \cdot \frac{- 3.8}{10} = - 8.9 \cdot - 3.8$

Step 2.1.1.3.2

Factor $3.8$ out of $- 3.8$ .

$\frac{29 - 10 v}{3.8 \cdot - 1} \cdot \frac{3.8 \cdot - 1}{10} = - 8.9 \cdot - 3.8$

Step 2.1.1.3.3

Cancel the common factor.

$\frac{29 - 10 v}{3.8 \cdot - 1} \cdot \frac{3.8 \cdot - 1}{10} = - 8.9 \cdot - 3.8$

Step 2.1.1.3.4

Rewrite the expression.

$\frac{29 - 10 v}{- 1} \cdot \frac{- 1}{10} = - 8.9 \cdot - 3.8$

Step 2.1.1.4

Multiply $\frac{29 - 10 v}{- 1}$ by $\frac{- 1}{10}$ .

$\frac{(29 - 10 v) \cdot - 1}{- 1 \cdot 10} = - 8.9 \cdot - 3.8$

Step 2.1.1.5

Simplify the expression.

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Step 2.1.1.5.1

Multiply $- 1$ by $10$ .

$\frac{(29 - 10 v) \cdot - 1}{- 10} = - 8.9 \cdot - 3.8$

Step 2.1.1.5.2

Move $- 1$ to the left of $29 - 10 v$ .

$\frac{- 1 \cdot (29 - 10 v)}{- 10} = - 8.9 \cdot - 3.8$

Step 2.1.1.6

Dividing two negative values results in a positive value.

$\frac{29 - 10 v}{10} = - 8.9 \cdot - 3.8$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $- 8.9$ by $- 3.8$ .

$\frac{29 - 10 v}{10} = 33.82$

Step 3

Solve for $v$ .

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Step 3.1

Multiply both sides by $10$ .

$\frac{29 - 10 v}{10} \cdot 10 = 33.82 \cdot 10$

Step 3.2

Simplify.

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Step 3.2.1

Simplify the left side.

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Step 3.2.1.1

Simplify $\frac{29 - 10 v}{10} \cdot 10$ .

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Step 3.2.1.1.1

Cancel the common factor of $10$ .

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Step 3.2.1.1.1.1

Cancel the common factor.

$\frac{29 - 10 v}{10} \cdot 10 = 33.82 \cdot 10$

Step 3.2.1.1.1.2

Rewrite the expression.

$29 - 10 v = 33.82 \cdot 10$

Step 3.2.1.1.2

Reorder $29$ and $- 10 v$ .

$- 10 v + 29 = 33.82 \cdot 10$

Step 3.2.2

Simplify the right side.

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Step 3.2.2.1

Multiply $33.82$ by $10$ .

$- 10 v + 29 = 338.2$

Step 3.3

Solve for $v$ .

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Step 3.3.1

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

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Step 3.3.1.1

Subtract $29$ from both sides of the equation.

$- 10 v = 338.2 - 29$

Step 3.3.1.2

Subtract $29$ from $338.2$ .

$- 10 v = 309.2$

Step 3.3.2

Divide each term in $- 10 v = 309.2$ by $- 10$ and simplify.

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Step 3.3.2.1

Divide each term in $- 10 v = 309.2$ by $- 10$ .

$\frac{- 10 v}{- 10} = \frac{309.2}{- 10}$

Step 3.3.2.2

Simplify the left side.

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Step 3.3.2.2.1

Cancel the common factor of $- 10$ .

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Step 3.3.2.2.1.1

Cancel the common factor.

$\frac{- 10 v}{- 10} = \frac{309.2}{- 10}$

Step 3.3.2.2.1.2

Divide $v$ by $1$ .

$v = \frac{309.2}{- 10}$

Step 3.3.2.3

Simplify the right side.

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Step 3.3.2.3.1

Divide $309.2$ by $- 10$ .

$v = - 30.92$