Basic Math Examples

$0 = 90 w - (57 w + 5000)$

Step 1

Rewrite the equation as $90 w - (57 w + 5000) = 0$ .

$90 w - (57 w + 5000) = 0$

Step 2

Simplify $90 w - (57 w + 5000)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$90 w - (57 w) - 1 \cdot 5000 = 0$

Step 2.1.2

Multiply $57$ by $- 1$ .

$90 w - 57 w - 1 \cdot 5000 = 0$

Step 2.1.3

Multiply $- 1$ by $5000$ .

$90 w - 57 w - 5000 = 0$

Step 2.2

Subtract $57 w$ from $90 w$ .

$33 w - 5000 = 0$

Step 3

Add $5000$ to both sides of the equation.

$33 w = 5000$

Step 4

Divide each term in $33 w = 5000$ by $33$ and simplify.

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Step 4.1

Divide each term in $33 w = 5000$ by $33$ .

$\frac{33 w}{33} = \frac{5000}{33}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $33$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{33 w}{33} = \frac{5000}{33}$

Step 4.2.1.2

Divide $w$ by $1$ .

$w = \frac{5000}{33}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$w = \frac{5000}{33}$

Decimal Form:

$w = 151.\overline{51}$

Mixed Number Form:

$w = 151 \frac{17}{33}$