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 2604/19 | Equatix

Question

$$\frac{2604}{19}$$

Evaluate

$\frac{2604}{19}\approx 137.052631579$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $2604$

$$\begin{array}{l}\phantom{19)}\phantom{1}\\19\overline{)2604}\\\end{array}$$

Since $2$ is less than $19$, use the next digit $6$ from dividend $2604$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{19)}0\phantom{2}\\19\overline{)2604}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $2604$

$$\begin{array}{l}\phantom{19)}0\phantom{3}\\19\overline{)2604}\\\end{array}$$

Find closest multiple of $19$ to $26$. We see that $1 \times 19 = 19$ is the nearest. Now subtract $19$ from $26$ to get reminder $7$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{19)}01\phantom{4}\\19\overline{)2604}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)9}7\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $2604$

$$\begin{array}{l}\phantom{19)}01\phantom{5}\\19\overline{)2604}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)9}70\\\end{array}$$

Find closest multiple of $19$ to $70$. We see that $3 \times 19 = 57$ is the nearest. Now subtract $57$ from $70$ to get reminder $13$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{19)}013\phantom{6}\\19\overline{)2604}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)9}70\\\phantom{19)}\underline{\phantom{9}57\phantom{9}}\\\phantom{19)9}13\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $2604$

$$\begin{array}{l}\phantom{19)}013\phantom{7}\\19\overline{)2604}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)9}70\\\phantom{19)}\underline{\phantom{9}57\phantom{9}}\\\phantom{19)9}134\\\end{array}$$

Find closest multiple of $19$ to $134$. We see that $7 \times 19 = 133$ is the nearest. Now subtract $133$ from $134$ to get reminder $1$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{19)}0137\phantom{8}\\19\overline{)2604}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)9}70\\\phantom{19)}\underline{\phantom{9}57\phantom{9}}\\\phantom{19)9}134\\\phantom{19)}\underline{\phantom{9}133\phantom{}}\\\phantom{19)999}1\\\end{array}$$

Since $1$ is less than $19$, stop the division. The reminder is $1$. The topmost line $0137$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $137$.

$$\text{Quotient: }137$$ $$\text{Reminder: }1$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 3 \cdot 7 \cdot 31}{19} = 137\frac{1}{19} = 137.05263157894737$

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Steps For Long Division Method

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