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 5904/37 | Equatix

Question

$$5904/37$$

Evaluate

$\frac{5904}{37}\approx 159.567567568$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $5904$

$$\begin{array}{l}\phantom{37)}\phantom{1}\\37\overline{)5904}\\\end{array}$$

Since $5$ is less than $37$, use the next digit $9$ from dividend $5904$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{37)}0\phantom{2}\\37\overline{)5904}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $5904$

$$\begin{array}{l}\phantom{37)}0\phantom{3}\\37\overline{)5904}\\\end{array}$$

Find closest multiple of $37$ to $59$. We see that $1 \times 37 = 37$ is the nearest. Now subtract $37$ from $59$ to get reminder $22$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{37)}01\phantom{4}\\37\overline{)5904}\\\phantom{37)}\underline{\phantom{}37\phantom{99}}\\\phantom{37)}22\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $5904$

$$\begin{array}{l}\phantom{37)}01\phantom{5}\\37\overline{)5904}\\\phantom{37)}\underline{\phantom{}37\phantom{99}}\\\phantom{37)}220\\\end{array}$$

Find closest multiple of $37$ to $220$. We see that $5 \times 37 = 185$ is the nearest. Now subtract $185$ from $220$ to get reminder $35$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{37)}015\phantom{6}\\37\overline{)5904}\\\phantom{37)}\underline{\phantom{}37\phantom{99}}\\\phantom{37)}220\\\phantom{37)}\underline{\phantom{}185\phantom{9}}\\\phantom{37)9}35\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $5904$

$$\begin{array}{l}\phantom{37)}015\phantom{7}\\37\overline{)5904}\\\phantom{37)}\underline{\phantom{}37\phantom{99}}\\\phantom{37)}220\\\phantom{37)}\underline{\phantom{}185\phantom{9}}\\\phantom{37)9}354\\\end{array}$$

Find closest multiple of $37$ to $354$. We see that $9 \times 37 = 333$ is the nearest. Now subtract $333$ from $354$ to get reminder $21$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{37)}0159\phantom{8}\\37\overline{)5904}\\\phantom{37)}\underline{\phantom{}37\phantom{99}}\\\phantom{37)}220\\\phantom{37)}\underline{\phantom{}185\phantom{9}}\\\phantom{37)9}354\\\phantom{37)}\underline{\phantom{9}333\phantom{}}\\\phantom{37)99}21\\\end{array}$$

Since $21$ is less than $37$, stop the division. The reminder is $21$. The topmost line $0159$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $159$.

$$\text{Quotient: }159$$ $$\text{Reminder: }21$$

Show Solution

Factor

$\frac{2 ^ {4} \cdot 3 ^ {2} \cdot 41}{37} = 159\frac{21}{37} = 159.56756756756758$

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Steps For Long Division Method

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