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 976/26 | Equatix

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Question

$$976/26$$

Evaluate

$\frac{488}{13}\approx 37.538461538$

Steps For Long Division Method

Use the $1^{st}$ digit $9$ from dividend $976$

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)976}\\\end{array}$$

Since $9$ is less than $26$, use the next digit $7$ from dividend $976$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)976}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $976$

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)976}\\\end{array}$$

Find closest multiple of $26$ to $97$. We see that $3 \times 26 = 78$ is the nearest. Now subtract $78$ from $97$ to get reminder $19$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{26)}03\phantom{4}\\26\overline{)976}\\\phantom{26)}\underline{\phantom{}78\phantom{9}}\\\phantom{26)}19\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $976$

$$\begin{array}{l}\phantom{26)}03\phantom{5}\\26\overline{)976}\\\phantom{26)}\underline{\phantom{}78\phantom{9}}\\\phantom{26)}196\\\end{array}$$

Find closest multiple of $26$ to $196$. We see that $7 \times 26 = 182$ is the nearest. Now subtract $182$ from $196$ to get reminder $14$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{26)}037\phantom{6}\\26\overline{)976}\\\phantom{26)}\underline{\phantom{}78\phantom{9}}\\\phantom{26)}196\\\phantom{26)}\underline{\phantom{}182\phantom{}}\\\phantom{26)9}14\\\end{array}$$

Since $14$ is less than $26$, stop the division. The reminder is $14$. The topmost line $037$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $37$.

$$\text{Quotient: }37$$ $$\text{Reminder: }14$$

Show Solution

Factor

$\frac{2 ^ {3} \cdot 61}{13} = 37\frac{7}{13} = 37.53846153846154$