Algebra Examples

$\frac{3 (x + 4)}{4 {(x + 3)}^{\frac{3}{2}}} = 0$

Step 1

Set the numerator equal to zero.

$3 (x + 4) = 0$

Step 2

Solve the equation for $x$ .

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Step 2.1

Divide each term in $3 (x + 4) = 0$ by $3$ and simplify.

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Step 2.1.1

Divide each term in $3 (x + 4) = 0$ by $3$ .

$\frac{3 (x + 4)}{3} = \frac{0}{3}$

Step 2.1.2

Simplify the left side.

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Step 2.1.2.1

Cancel the common factor of $3$ .

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Step 2.1.2.1.1

Cancel the common factor.

$\frac{3 (x + 4)}{3} = \frac{0}{3}$

Step 2.1.2.1.2

Divide $x + 4$ by $1$ .

$x + 4 = \frac{0}{3}$

Step 2.1.3

Simplify the right side.

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Step 2.1.3.1

Divide $0$ by $3$ .

$x + 4 = 0$

Step 2.2

Subtract $4$ from both sides of the equation.

$x = - 4$

Step 3

Exclude the solutions that do not make $\frac{3 (x + 4)}{4 {(x + 3)}^{\frac{3}{2}}} = 0$ true.

$No solution$