Basic Math Examples

0.8 n + 1.2 \cdot 350 = 1.08 (n + 350)

$0.8 n + 1.2 \cdot 350 = 1.08 (n + 350)$

Step 1

Multiply

1.2

$1.2$ by

350

$350$ .

0.8 n + 420 = 1.08 (n + 350)

$0.8 n + 420 = 1.08 (n + 350)$

Step 2

Simplify

1.08 (n + 350)

$1.08 (n + 350)$ .

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Step 2.1

Apply the distributive property.

0.8 n + 420 = 1.08 n + 1.08 \cdot 350

$0.8 n + 420 = 1.08 n + 1.08 \cdot 350$

Step 2.2

Multiply

1.08

$1.08$ by

350

$350$ .

0.8 n + 420 = 1.08 n + 378

$0.8 n + 420 = 1.08 n + 378$

0.8 n + 420 = 1.08 n + 378

$0.8 n + 420 = 1.08 n + 378$

Step 3

Move all terms containing

n

$n$ to the left side of the equation.

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Step 3.1

Subtract

1.08 n

$1.08 n$ from both sides of the equation.

0.8 n + 420 - 1.08 n = 378

$0.8 n + 420 - 1.08 n = 378$

Step 3.2

Subtract

1.08 n

$1.08 n$ from

0.8 n

$0.8 n$ .

- 0.28 n + 420 = 378

$- 0.28 n + 420 = 378$

- 0.28 n + 420 = 378

$- 0.28 n + 420 = 378$

Step 4

Move all terms not containing

n

$n$ to the right side of the equation.

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Step 4.1

Subtract

420

$420$ from both sides of the equation.

- 0.28 n = 378 - 420

$- 0.28 n = 378 - 420$

Step 4.2

Subtract

420

$420$ from

378

$378$ .

- 0.28 n = - 42

$- 0.28 n = - 42$

- 0.28 n = - 42

$- 0.28 n = - 42$

Step 5

Divide each term in

- 0.28 n = - 42

$- 0.28 n = - 42$ by

- 0.28

$- 0.28$ and simplify.

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Step 5.1

Divide each term in

- 0.28 n = - 42

$- 0.28 n = - 42$ by

- 0.28

$- 0.28$ .

\frac{- 0.28 n}{- 0.28} = \frac{- 42}{- 0.28}

$\frac{- 0.28 n}{- 0.28} = \frac{- 42}{- 0.28}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of

- 0.28

$- 0.28$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 0.28 n}{- 0.28} = \frac{- 42}{- 0.28}$

Step 5.2.1.2

Divide

$n$ by

$1$ .

$n = \frac{- 42}{- 0.28}$

$n = \frac{- 42}{- 0.28}$

$n = \frac{- 42}{- 0.28}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide

$- 42$ by

$- 0.28$ .

$n = 150$

$n = 150$

$n = 150$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$