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 7386-35 | Equatix

Question

$$7386 \div 35 =$$

Evaluate

$\frac{7386}{35}\approx 211.028571429$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $7386$

$$\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)7386}\\\end{array}$$

Since $7$ is less than $35$, use the next digit $3$ from dividend $7386$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)7386}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $7386$

$$\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)7386}\\\end{array}$$

Find closest multiple of $35$ to $73$. We see that $2 \times 35 = 70$ is the nearest. Now subtract $70$ from $73$ to get reminder $3$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{35)}02\phantom{4}\\35\overline{)7386}\\\phantom{35)}\underline{\phantom{}70\phantom{99}}\\\phantom{35)9}3\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $7386$

$$\begin{array}{l}\phantom{35)}02\phantom{5}\\35\overline{)7386}\\\phantom{35)}\underline{\phantom{}70\phantom{99}}\\\phantom{35)9}38\\\end{array}$$

Find closest multiple of $35$ to $38$. We see that $1 \times 35 = 35$ is the nearest. Now subtract $35$ from $38$ to get reminder $3$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{35)}021\phantom{6}\\35\overline{)7386}\\\phantom{35)}\underline{\phantom{}70\phantom{99}}\\\phantom{35)9}38\\\phantom{35)}\underline{\phantom{9}35\phantom{9}}\\\phantom{35)99}3\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $7386$

$$\begin{array}{l}\phantom{35)}021\phantom{7}\\35\overline{)7386}\\\phantom{35)}\underline{\phantom{}70\phantom{99}}\\\phantom{35)9}38\\\phantom{35)}\underline{\phantom{9}35\phantom{9}}\\\phantom{35)99}36\\\end{array}$$

Find closest multiple of $35$ to $36$. We see that $1 \times 35 = 35$ is the nearest. Now subtract $35$ from $36$ to get reminder $1$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{35)}0211\phantom{8}\\35\overline{)7386}\\\phantom{35)}\underline{\phantom{}70\phantom{99}}\\\phantom{35)9}38\\\phantom{35)}\underline{\phantom{9}35\phantom{9}}\\\phantom{35)99}36\\\phantom{35)}\underline{\phantom{99}35\phantom{}}\\\phantom{35)999}1\\\end{array}$$

Since $1$ is less than $35$, stop the division. The reminder is $1$. The topmost line $0211$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $211$.

$$\text{Quotient: }211$$ $$\text{Reminder: }1$$

Show Solution

Factor

$\frac{2 \cdot 3 \cdot 1231}{5 \cdot 7} = 211\frac{1}{35} = 211.02857142857144$

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Steps For Long Division Method

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