Precalculus Examples

$x = \frac{- 2.7 - v ({(2.7)}^{2} \cdot (4 (- 0.05) (5.8)))}{2 (- 0.05)}$

Step 1

Remove parentheses.

$x = \frac{- 2.7 - v ({2.7}^{2} \cdot (4 (- 0.05) (5.8)))}{2 (- 0.05)}$

Step 2

Multiply $4 (- 0.05)$ by $5.8$ .

$x = \frac{- 2.7 - v ({2.7}^{2} \cdot (4 (- 0.05) \cdot 5.8))}{2 (- 0.05)}$

Step 3

Remove parentheses.

$x = \frac{- 2.7 - v ({2.7}^{2} \cdot (4 (- 0.05)) \cdot 5.8)}{2 (- 0.05)}$

Step 4

Remove parentheses.

$x = \frac{- 2.7 - v ({2.7}^{2} \cdot 4 \cdot - 0.05 \cdot 5.8)}{2 (- 0.05)}$

Step 5

Remove parentheses.

$x = \frac{- 2.7 - v ({2.7}^{2} \cdot 4 \cdot - 0.05) \cdot 5.8}{2 (- 0.05)}$

Step 6

Remove parentheses.

$x = \frac{- 2.7 - v ({2.7}^{2} \cdot 4) \cdot - 0.05 \cdot 5.8}{2 (- 0.05)}$

Step 7

Remove parentheses.

$x = \frac{- 2.7 - v \cdot {2.7}^{2} \cdot 4 \cdot - 0.05 \cdot 5.8}{2 (- 0.05)}$

Step 8

Simplify $\frac{- 2.7 - v \cdot {2.7}^{2} \cdot 4 \cdot - 0.05 \cdot 5.8}{2 (- 0.05)}$ .

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Step 8.1

Simplify the numerator.

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Step 8.1.1

Factor $0.1$ out of $- 2.7 - v \cdot {2.7}^{2} \cdot 4 \cdot - 0.05 \cdot 5.8$ .

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Step 8.1.1.1

Move $v$ .

$x = \frac{- 2.7 - 1 \cdot {2.7}^{2} \cdot 4 \cdot - 0.05 \cdot 5.8 v}{2 (- 0.05)}$

Step 8.1.1.2

Factor $0.1$ out of $- 2.7$ .

$x = \frac{0.1 (- 27) - 1 \cdot {2.7}^{2} \cdot 4 \cdot - 0.05 \cdot 5.8 v}{2 (- 0.05)}$

Step 8.1.1.3

Factor $0.1$ out of $- 1 \cdot {2.7}^{2} \cdot 4 \cdot - 0.05 \cdot 5.8 v$ .

$x = \frac{0.1 (- 27) + 0.1 (- 10 \cdot {2.7}^{2} \cdot 4 \cdot - 0.05 \cdot 5.8 v)}{2 (- 0.05)}$

Step 8.1.1.4

Factor $0.1$ out of $0.1 (- 27) + 0.1 (- 10 \cdot {2.7}^{2} \cdot 4 \cdot - 0.05 \cdot 5.8 v)$ .

$x = \frac{0.1 (- 27 - 10 \cdot {2.7}^{2} \cdot 4 \cdot - 0.05 \cdot 5.8 v)}{2 (- 0.05)}$

Step 8.1.2

Raise $2.7$ to the power of $2$ .

$x = \frac{0.1 (- 27 - 10 \cdot 7.29 \cdot 4 \cdot - 0.05 \cdot 5.8 v)}{2 (- 0.05)}$

Step 8.1.3

Multiply $- 10 \cdot 7.29 \cdot 4 \cdot - 0.05 \cdot 5.8$ .

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Step 8.1.3.1

Multiply $- 10$ by $7.29$ .

$x = \frac{0.1 (- 27 - 72.9 \cdot 4 \cdot - 0.05 \cdot 5.8 v)}{2 (- 0.05)}$

Step 8.1.3.2

Multiply $- 72.9$ by $4$ .

$x = \frac{0.1 (- 27 - 291.6 \cdot - 0.05 \cdot 5.8 v)}{2 (- 0.05)}$

Step 8.1.3.3

Multiply $- 291.6$ by $- 0.05$ .

$x = \frac{0.1 (- 27 + 14.58 \cdot 5.8 v)}{2 (- 0.05)}$

Step 8.1.3.4

Multiply $14.58$ by $5.8$ .

$x = \frac{0.1 (- 27 + 84.564 v)}{2 (- 0.05)}$

Step 8.1.4

Factor $0.108$ out of $- 27 + 84.564 v$ .

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Step 8.1.4.1

Factor $0.108$ out of $- 27$ .

$x = \frac{0.1 (0.108 (- 250) + 84.564 v)}{2 (- 0.05)}$

Step 8.1.4.2

Factor $0.108$ out of $84.564 v$ .

$x = \frac{0.1 (0.108 (- 250) + 0.108 (783 v))}{2 (- 0.05)}$

Step 8.1.4.3

Factor $0.108$ out of $0.108 (- 250) + 0.108 (783 v)$ .

$x = \frac{0.1 (0.108 (- 250 + 783 v))}{2 (- 0.05)}$

$x = \frac{0.1 \cdot 0.108 (- 250 + 783 v)}{2 (- 0.05)}$

Step 8.1.5

Multiply $0.1$ by $0.108$ .

$x = \frac{0.0108 (- 250 + 783 v)}{2 (- 0.05)}$

Step 8.2

Simplify with factoring out.

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Step 8.2.1

Multiply $2$ by $- 0.05$ .

$x = \frac{0.0108 (- 250 + 783 v)}{- 0.1}$

Step 8.2.2

Move the negative in front of the fraction.

$x = - \frac{0.0108 (- 250 + 783 v)}{0.1}$

Step 8.2.3

Factor $0.1$ out of $0.1$ .

$x = - \frac{0.0108 (- 250 + 783 v)}{0.1 (1)}$

Step 8.3

Separate fractions.

$x = - (\frac{0.0108}{0.1} \cdot \frac{- 250 + 783 v}{1})$

Step 8.4

Simplify the expression.

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Step 8.4.1

Divide $0.0108$ by $0.1$ .

$x = - (0.108 \frac{- 250 + 783 v}{1})$

Step 8.4.2

Divide $- 250 + 783 v$ by $1$ .

$x = - (0.108 (- 250 + 783 v))$

Step 8.5

Apply the distributive property.

$x = - (0.108 \cdot - 250 + 0.108 (783 v))$

Step 8.6

Multiply.

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Step 8.6.1

Multiply $0.108$ by $- 250$ .

$x = - (- 27 + 0.108 (783 v))$

Step 8.6.2

Multiply $783$ by $0.108$ .

$x = - (- 27 + 84.564 v)$

Step 8.7

Apply the distributive property.

$x = - - 27 - (84.564 v)$

Step 8.8

Simplify the expression.

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Step 8.8.1

Multiply $- 1$ by $- 27$ .

$x = 27 - (84.564 v)$

Step 8.8.2

Multiply $84.564$ by $- 1$ .

$x = 27 - 84.564 v$

Step 8.8.3

Reorder $27$ and $- 84.564 v$ .

$x = - 84.564 v + 27$