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 200/35 | Equatix

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Question

$$200\div35$$

Evaluate

$\frac{40}{7}\approx 5.714285714$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $200$

$$\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)200}\\\end{array}$$

Since $2$ is less than $35$, use the next digit $0$ from dividend $200$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)200}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $200$

$$\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)200}\\\end{array}$$

Since $20$ is less than $35$, use the next digit $0$ from dividend $200$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{35)}00\phantom{4}\\35\overline{)200}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $200$

$$\begin{array}{l}\phantom{35)}00\phantom{5}\\35\overline{)200}\\\end{array}$$

Find closest multiple of $35$ to $200$. We see that $5 \times 35 = 175$ is the nearest. Now subtract $175$ from $200$ to get reminder $25$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{35)}005\phantom{6}\\35\overline{)200}\\\phantom{35)}\underline{\phantom{}175\phantom{}}\\\phantom{35)9}25\\\end{array}$$

Since $25$ is less than $35$, stop the division. The reminder is $25$. The topmost line $005$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $5$.

$$\text{Quotient: }5$$ $$\text{Reminder: }25$$

Show Solution

Factor

$\frac{2 ^ {3} \cdot 5}{7} = 5\frac{5}{7} = 5.714285714285714$