Finite Math Examples

$f (x) = 5 (2 x + 3)$

Step 1

Set $5 (2 x + 3)$ equal to $0$ .

$5 (2 x + 3) = 0$

Step 2

Solve for $x$ .

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Step 2.1

Divide each term in $5 (2 x + 3) = 0$ by $5$ and simplify.

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Step 2.1.1

Divide each term in $5 (2 x + 3) = 0$ by $5$ .

$\frac{5 (2 x + 3)}{5} = \frac{0}{5}$

Step 2.1.2

Simplify the left side.

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Step 2.1.2.1

Cancel the common factor of $5$ .

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Step 2.1.2.1.1

Cancel the common factor.

$\frac{5 (2 x + 3)}{5} = \frac{0}{5}$

Step 2.1.2.1.2

Divide $2 x + 3$ by $1$ .

$2 x + 3 = \frac{0}{5}$

Step 2.1.3

Simplify the right side.

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Step 2.1.3.1

Divide $0$ by $5$ .

$2 x + 3 = 0$

Step 2.2

Subtract $3$ from both sides of the equation.

$2 x = - 3$

Step 2.3

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

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Step 2.3.1

Divide each term in $2 x = - 3$ by $2$ .

$\frac{2 x}{2} = \frac{- 3}{2}$

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Cancel the common factor of $2$ .

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Step 2.3.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{- 3}{2}$

Step 2.3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 3}{2}$

Step 2.3.3

Simplify the right side.

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Step 2.3.3.1

Move the negative in front of the fraction.

$x = - \frac{3}{2}$

Step 3