1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 996/41 | Equatix

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Question

$$996/41$$

Evaluate

$\frac{996}{41}\approx 24.292682927$

Steps For Long Division Method

Use the $1^{st}$ digit $9$ from dividend $996$

$$\begin{array}{l}\phantom{41)}\phantom{1}\\41\overline{)996}\\\end{array}$$

Since $9$ is less than $41$, use the next digit $9$ from dividend $996$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{41)}0\phantom{2}\\41\overline{)996}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $996$

$$\begin{array}{l}\phantom{41)}0\phantom{3}\\41\overline{)996}\\\end{array}$$

Find closest multiple of $41$ to $99$. We see that $2 \times 41 = 82$ is the nearest. Now subtract $82$ from $99$ to get reminder $17$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{41)}02\phantom{4}\\41\overline{)996}\\\phantom{41)}\underline{\phantom{}82\phantom{9}}\\\phantom{41)}17\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $996$

$$\begin{array}{l}\phantom{41)}02\phantom{5}\\41\overline{)996}\\\phantom{41)}\underline{\phantom{}82\phantom{9}}\\\phantom{41)}176\\\end{array}$$

Find closest multiple of $41$ to $176$. We see that $4 \times 41 = 164$ is the nearest. Now subtract $164$ from $176$ to get reminder $12$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{41)}024\phantom{6}\\41\overline{)996}\\\phantom{41)}\underline{\phantom{}82\phantom{9}}\\\phantom{41)}176\\\phantom{41)}\underline{\phantom{}164\phantom{}}\\\phantom{41)9}12\\\end{array}$$

Since $12$ is less than $41$, stop the division. The reminder is $12$. The topmost line $024$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $24$.

$$\text{Quotient: }24$$ $$\text{Reminder: }12$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 3 \cdot 83}{41} = 24\frac{12}{41} = 24.29268292682927$