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 23/859 | Equatix

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Question

$$\frac { 859 } { 23 }$$

Evaluate

$\frac{859}{23}\approx 37.347826087$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $859$

$$\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)859}\\\end{array}$$

Since $8$ is less than $23$, use the next digit $5$ from dividend $859$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)859}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $859$

$$\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)859}\\\end{array}$$

Find closest multiple of $23$ to $85$. We see that $3 \times 23 = 69$ is the nearest. Now subtract $69$ from $85$ to get reminder $16$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{23)}03\phantom{4}\\23\overline{)859}\\\phantom{23)}\underline{\phantom{}69\phantom{9}}\\\phantom{23)}16\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $859$

$$\begin{array}{l}\phantom{23)}03\phantom{5}\\23\overline{)859}\\\phantom{23)}\underline{\phantom{}69\phantom{9}}\\\phantom{23)}169\\\end{array}$$

Find closest multiple of $23$ to $169$. We see that $7 \times 23 = 161$ is the nearest. Now subtract $161$ from $169$ to get reminder $8$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{23)}037\phantom{6}\\23\overline{)859}\\\phantom{23)}\underline{\phantom{}69\phantom{9}}\\\phantom{23)}169\\\phantom{23)}\underline{\phantom{}161\phantom{}}\\\phantom{23)99}8\\\end{array}$$

Since $8$ is less than $23$, stop the division. The reminder is $8$. The topmost line $037$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $37$.

$$\text{Quotient: }37$$ $$\text{Reminder: }8$$

Show Solution

Factor

$\frac{859}{23} = 37\frac{8}{23} = 37.34782608695652$