Finite Math Examples

$a = 6.28 (6 x + 16.52)$

Step 1

Rewrite the equation as $6.28 (6 x + 16.52) = a$ .

$6.28 (6 x + 16.52) = a$

Step 2

Divide each term in $6.28 (6 x + 16.52) = a$ by $6.28$ and simplify.

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Step 2.1

Divide each term in $6.28 (6 x + 16.52) = a$ by $6.28$ .

$\frac{6.28 (6 x + 16.52)}{6.28} = \frac{a}{6.28}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $6.28$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{6.28 (6 x + 16.52)}{6.28} = \frac{a}{6.28}$

Step 2.2.1.2

Divide $6 x + 16.52$ by $1$ .

$6 x + 16.52 = \frac{a}{6.28}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Multiply by $1$ .

$6 x + 16.52 = \frac{1 a}{6.28}$

Step 2.3.2

Factor $6.28$ out of $6.28$ .

$6 x + 16.52 = \frac{1 a}{6.28 (1)}$

Step 2.3.3

Separate fractions.

$6 x + 16.52 = \frac{1}{6.28} \cdot \frac{a}{1}$

Step 2.3.4

Divide $1$ by $6.28$ .

$6 x + 16.52 = 0.15923566 \frac{a}{1}$

Step 2.3.5

Divide $a$ by $1$ .

$6 x + 16.52 = 0.15923566 a$

Step 3

Subtract $16.52$ from both sides of the equation.

$6 x = 0.15923566 a - 16.52$

Step 4

Divide each term in $6 x = 0.15923566 a - 16.52$ by $6$ and simplify.

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Step 4.1

Divide each term in $6 x = 0.15923566 a - 16.52$ by $6$ .

$\frac{6 x}{6} = \frac{0.15923566 a}{6} + \frac{- 16.52}{6}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $6$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{6 x}{6} = \frac{0.15923566 a}{6} + \frac{- 16.52}{6}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{0.15923566 a}{6} + \frac{- 16.52}{6}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Simplify each term.

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Step 4.3.1.1

Factor $0.15923566$ out of $0.15923566 a$ .

$x = \frac{0.15923566 (a)}{6} + \frac{- 16.52}{6}$

Step 4.3.1.2

Factor $6$ out of $6$ .

$x = \frac{0.15923566 (a)}{6 (1)} + \frac{- 16.52}{6}$

Step 4.3.1.3

Separate fractions.

$x = \frac{0.15923566}{6} \cdot \frac{a}{1} + \frac{- 16.52}{6}$

Step 4.3.1.4

Divide $0.15923566$ by $6$ .

$x = 0.02653927 \frac{a}{1} + \frac{- 16.52}{6}$

Step 4.3.1.5

Divide $a$ by $1$ .

$x = 0.02653927 a + \frac{- 16.52}{6}$

Step 4.3.1.6

Divide $- 16.52$ by $6$ .

$x = 0.02653927 a - 2.75\overline{3}$