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 6525/15 | Equatix

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Question

$$6525/15$$

Evaluate

$435$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $6525$

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)6525}\\\end{array}$$

Since $6$ is less than $15$, use the next digit $5$ from dividend $6525$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)6525}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $6525$

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)6525}\\\end{array}$$

Find closest multiple of $15$ to $65$. We see that $4 \times 15 = 60$ is the nearest. Now subtract $60$ from $65$ to get reminder $5$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{15)}04\phantom{4}\\15\overline{)6525}\\\phantom{15)}\underline{\phantom{}60\phantom{99}}\\\phantom{15)9}5\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $6525$

$$\begin{array}{l}\phantom{15)}04\phantom{5}\\15\overline{)6525}\\\phantom{15)}\underline{\phantom{}60\phantom{99}}\\\phantom{15)9}52\\\end{array}$$

Find closest multiple of $15$ to $52$. We see that $3 \times 15 = 45$ is the nearest. Now subtract $45$ from $52$ to get reminder $7$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{15)}043\phantom{6}\\15\overline{)6525}\\\phantom{15)}\underline{\phantom{}60\phantom{99}}\\\phantom{15)9}52\\\phantom{15)}\underline{\phantom{9}45\phantom{9}}\\\phantom{15)99}7\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $6525$

$$\begin{array}{l}\phantom{15)}043\phantom{7}\\15\overline{)6525}\\\phantom{15)}\underline{\phantom{}60\phantom{99}}\\\phantom{15)9}52\\\phantom{15)}\underline{\phantom{9}45\phantom{9}}\\\phantom{15)99}75\\\end{array}$$

Find closest multiple of $15$ to $75$. We see that $5 \times 15 = 75$ is the nearest. Now subtract $75$ from $75$ to get reminder $0$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{15)}0435\phantom{8}\\15\overline{)6525}\\\phantom{15)}\underline{\phantom{}60\phantom{99}}\\\phantom{15)9}52\\\phantom{15)}\underline{\phantom{9}45\phantom{9}}\\\phantom{15)99}75\\\phantom{15)}\underline{\phantom{99}75\phantom{}}\\\phantom{15)9999}0\\\end{array}$$

Since $0$ is less than $15$, stop the division. The reminder is $0$. The topmost line $0435$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $435$.

$$\text{Quotient: }435$$ $$\text{Reminder: }0$$

Show Solution

Factor

$3\times 5\times 29$