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 262/23 | Equatix

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Question

$$262\div23$$

Evaluate

$\frac{262}{23}\approx 11.391304348$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $262$

$$\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)262}\\\end{array}$$

Since $2$ is less than $23$, use the next digit $6$ from dividend $262$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)262}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $262$

$$\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)262}\\\end{array}$$

Find closest multiple of $23$ to $26$. We see that $1 \times 23 = 23$ is the nearest. Now subtract $23$ from $26$ to get reminder $3$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{23)}01\phantom{4}\\23\overline{)262}\\\phantom{23)}\underline{\phantom{}23\phantom{9}}\\\phantom{23)9}3\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $262$

$$\begin{array}{l}\phantom{23)}01\phantom{5}\\23\overline{)262}\\\phantom{23)}\underline{\phantom{}23\phantom{9}}\\\phantom{23)9}32\\\end{array}$$

Find closest multiple of $23$ to $32$. We see that $1 \times 23 = 23$ is the nearest. Now subtract $23$ from $32$ to get reminder $9$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{23)}011\phantom{6}\\23\overline{)262}\\\phantom{23)}\underline{\phantom{}23\phantom{9}}\\\phantom{23)9}32\\\phantom{23)}\underline{\phantom{9}23\phantom{}}\\\phantom{23)99}9\\\end{array}$$

Since $9$ is less than $23$, stop the division. The reminder is $9$. The topmost line $011$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $11$.

$$\text{Quotient: }11$$ $$\text{Reminder: }9$$

Show Solution

Factor

$\frac{2 \cdot 131}{23} = 11\frac{9}{23} = 11.391304347826088$