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 654/42 | Equatix

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Question

$$654\div42$$

Evaluate

$\frac{109}{7}\approx 15.571428571$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $654$

$$\begin{array}{l}\phantom{42)}\phantom{1}\\42\overline{)654}\\\end{array}$$

Since $6$ is less than $42$, use the next digit $5$ from dividend $654$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{42)}0\phantom{2}\\42\overline{)654}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $654$

$$\begin{array}{l}\phantom{42)}0\phantom{3}\\42\overline{)654}\\\end{array}$$

Find closest multiple of $42$ to $65$. We see that $1 \times 42 = 42$ is the nearest. Now subtract $42$ from $65$ to get reminder $23$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{42)}01\phantom{4}\\42\overline{)654}\\\phantom{42)}\underline{\phantom{}42\phantom{9}}\\\phantom{42)}23\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $654$

$$\begin{array}{l}\phantom{42)}01\phantom{5}\\42\overline{)654}\\\phantom{42)}\underline{\phantom{}42\phantom{9}}\\\phantom{42)}234\\\end{array}$$

Find closest multiple of $42$ to $234$. We see that $5 \times 42 = 210$ is the nearest. Now subtract $210$ from $234$ to get reminder $24$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{42)}015\phantom{6}\\42\overline{)654}\\\phantom{42)}\underline{\phantom{}42\phantom{9}}\\\phantom{42)}234\\\phantom{42)}\underline{\phantom{}210\phantom{}}\\\phantom{42)9}24\\\end{array}$$

Since $24$ is less than $42$, stop the division. The reminder is $24$. The topmost line $015$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $15$.

$$\text{Quotient: }15$$ $$\text{Reminder: }24$$

Show Solution

Factor

$\frac{109}{7} = 15\frac{4}{7} = 15.571428571428571$