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 257/49 | Equatix

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Question

$$257/49$$

Evaluate

$\frac{257}{49}\approx 5.244897959$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $257$

$$\begin{array}{l}\phantom{49)}\phantom{1}\\49\overline{)257}\\\end{array}$$

Since $2$ is less than $49$, use the next digit $5$ from dividend $257$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{49)}0\phantom{2}\\49\overline{)257}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $257$

$$\begin{array}{l}\phantom{49)}0\phantom{3}\\49\overline{)257}\\\end{array}$$

Since $25$ is less than $49$, use the next digit $7$ from dividend $257$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{49)}00\phantom{4}\\49\overline{)257}\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $257$

$$\begin{array}{l}\phantom{49)}00\phantom{5}\\49\overline{)257}\\\end{array}$$

Find closest multiple of $49$ to $257$. We see that $5 \times 49 = 245$ is the nearest. Now subtract $245$ from $257$ to get reminder $12$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{49)}005\phantom{6}\\49\overline{)257}\\\phantom{49)}\underline{\phantom{}245\phantom{}}\\\phantom{49)9}12\\\end{array}$$

Since $12$ is less than $49$, stop the division. The reminder is $12$. The topmost line $005$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $5$.

$$\text{Quotient: }5$$ $$\text{Reminder: }12$$

Show Solution

Factor

$\frac{257}{7 ^ {2}} = 5\frac{12}{49} = 5.244897959183674$