Algebra Examples

$F (x) = \frac{5 (x + 2)}{3 (x - 1) (x + 7)}$

Step 1

Set $\frac{5 (x + 2)}{3 (x - 1) (x + 7)}$ equal to $0$ .

$\frac{5 (x + 2)}{3 (x - 1) (x + 7)} = 0$

Step 2

Solve for $x$ .

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Step 2.1

Set the numerator equal to zero.

$5 (x + 2) = 0$

Step 2.2

Solve the equation for $x$ .

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Step 2.2.1

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

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Step 2.2.1.1

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

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

Step 2.2.1.2

Simplify the left side.

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Step 2.2.1.2.1

Cancel the common factor of $5$ .

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Step 2.2.1.2.1.1

Cancel the common factor.

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

Step 2.2.1.2.1.2

Divide $x + 2$ by $1$ .

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

Step 2.2.1.3

Simplify the right side.

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Step 2.2.1.3.1

Divide $0$ by $5$ .

$x + 2 = 0$

Step 2.2.2

Subtract $2$ from both sides of the equation.

$x = - 2$

Step 3