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 1400/15 | Equatix

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Question

$$1400\div15$$

Evaluate

$\frac{280}{3}\approx 93.333333333$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $1400$

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)1400}\\\end{array}$$

Since $1$ is less than $15$, use the next digit $4$ from dividend $1400$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)1400}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $1400$

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)1400}\\\end{array}$$

Since $14$ is less than $15$, use the next digit $0$ from dividend $1400$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{15)}00\phantom{4}\\15\overline{)1400}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $1400$

$$\begin{array}{l}\phantom{15)}00\phantom{5}\\15\overline{)1400}\\\end{array}$$

Find closest multiple of $15$ to $140$. We see that $9 \times 15 = 135$ is the nearest. Now subtract $135$ from $140$ to get reminder $5$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{15)}009\phantom{6}\\15\overline{)1400}\\\phantom{15)}\underline{\phantom{}135\phantom{9}}\\\phantom{15)99}5\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $1400$

$$\begin{array}{l}\phantom{15)}009\phantom{7}\\15\overline{)1400}\\\phantom{15)}\underline{\phantom{}135\phantom{9}}\\\phantom{15)99}50\\\end{array}$$

Find closest multiple of $15$ to $50$. We see that $3 \times 15 = 45$ is the nearest. Now subtract $45$ from $50$ to get reminder $5$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{15)}0093\phantom{8}\\15\overline{)1400}\\\phantom{15)}\underline{\phantom{}135\phantom{9}}\\\phantom{15)99}50\\\phantom{15)}\underline{\phantom{99}45\phantom{}}\\\phantom{15)999}5\\\end{array}$$

Since $5$ is less than $15$, stop the division. The reminder is $5$. The topmost line $0093$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $93$.

$$\text{Quotient: }93$$ $$\text{Reminder: }5$$

Show Solution

Factor

$\frac{2 ^ {3} \cdot 5 \cdot 7}{3} = 93\frac{1}{3} = 93.33333333333333$