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 8654/25 | Equatix

Question

$$8654\div25$$

Evaluate

$\frac{8654}{25}=346.16$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $8654$

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)8654}\\\end{array}$$

Since $8$ is less than $25$, use the next digit $6$ from dividend $8654$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)8654}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $8654$

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)8654}\\\end{array}$$

Find closest multiple of $25$ to $86$. We see that $3 \times 25 = 75$ is the nearest. Now subtract $75$ from $86$ to get reminder $11$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{25)}03\phantom{4}\\25\overline{)8654}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)}11\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $8654$

$$\begin{array}{l}\phantom{25)}03\phantom{5}\\25\overline{)8654}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)}115\\\end{array}$$

Find closest multiple of $25$ to $115$. We see that $4 \times 25 = 100$ is the nearest. Now subtract $100$ from $115$ to get reminder $15$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{25)}034\phantom{6}\\25\overline{)8654}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)}115\\\phantom{25)}\underline{\phantom{}100\phantom{9}}\\\phantom{25)9}15\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $8654$

$$\begin{array}{l}\phantom{25)}034\phantom{7}\\25\overline{)8654}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)}115\\\phantom{25)}\underline{\phantom{}100\phantom{9}}\\\phantom{25)9}154\\\end{array}$$

Find closest multiple of $25$ to $154$. We see that $6 \times 25 = 150$ is the nearest. Now subtract $150$ from $154$ to get reminder $4$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{25)}0346\phantom{8}\\25\overline{)8654}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)}115\\\phantom{25)}\underline{\phantom{}100\phantom{9}}\\\phantom{25)9}154\\\phantom{25)}\underline{\phantom{9}150\phantom{}}\\\phantom{25)999}4\\\end{array}$$

Since $4$ is less than $25$, stop the division. The reminder is $4$. The topmost line $0346$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $346$.

$$\text{Quotient: }346$$ $$\text{Reminder: }4$$

Show Solution

Factor

$\frac{2 \cdot 4327}{5 ^ {2}} = 346\frac{4}{25} = 346.16$

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Steps For Long Division Method

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