Basic Math Examples

$(10 + 7) (3 r - 2) = 0$

Step 1

Add $10$ and $7$ .

$17 (3 r - 2) = 0$

Step 2

Divide each term in $17 (3 r - 2) = 0$ by $17$ and simplify.

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Step 2.1

Divide each term in $17 (3 r - 2) = 0$ by $17$ .

$\frac{17 (3 r - 2)}{17} = \frac{0}{17}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $17$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{17 (3 r - 2)}{17} = \frac{0}{17}$

Step 2.2.1.2

Divide $3 r - 2$ by $1$ .

$3 r - 2 = \frac{0}{17}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $0$ by $17$ .

$3 r - 2 = 0$

Step 3

Add $2$ to both sides of the equation.

$3 r = 2$

Step 4

Divide each term in $3 r = 2$ by $3$ and simplify.

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Step 4.1

Divide each term in $3 r = 2$ by $3$ .

$\frac{3 r}{3} = \frac{2}{3}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $3$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{3 r}{3} = \frac{2}{3}$

Step 4.2.1.2

Divide $r$ by $1$ .

$r = \frac{2}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$r = \frac{2}{3}$

Decimal Form:

$r = 0.\overline{6}$