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 46 25 | Equatix

Question

$$\frac { 9155 } { 46 }$$

Evaluate

$\frac{9155}{46}\approx 199.02173913$

Steps For Long Division Method

Use the $1^{st}$ digit $9$ from dividend $9155$

$$\begin{array}{l}\phantom{46)}\phantom{1}\\46\overline{)9155}\\\end{array}$$

Since $9$ is less than $46$, use the next digit $1$ from dividend $9155$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{46)}0\phantom{2}\\46\overline{)9155}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $9155$

$$\begin{array}{l}\phantom{46)}0\phantom{3}\\46\overline{)9155}\\\end{array}$$

Find closest multiple of $46$ to $91$. We see that $1 \times 46 = 46$ is the nearest. Now subtract $46$ from $91$ to get reminder $45$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{46)}01\phantom{4}\\46\overline{)9155}\\\phantom{46)}\underline{\phantom{}46\phantom{99}}\\\phantom{46)}45\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $9155$

$$\begin{array}{l}\phantom{46)}01\phantom{5}\\46\overline{)9155}\\\phantom{46)}\underline{\phantom{}46\phantom{99}}\\\phantom{46)}455\\\end{array}$$

Find closest multiple of $46$ to $455$. We see that $9 \times 46 = 414$ is the nearest. Now subtract $414$ from $455$ to get reminder $41$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{46)}019\phantom{6}\\46\overline{)9155}\\\phantom{46)}\underline{\phantom{}46\phantom{99}}\\\phantom{46)}455\\\phantom{46)}\underline{\phantom{}414\phantom{9}}\\\phantom{46)9}41\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $9155$

$$\begin{array}{l}\phantom{46)}019\phantom{7}\\46\overline{)9155}\\\phantom{46)}\underline{\phantom{}46\phantom{99}}\\\phantom{46)}455\\\phantom{46)}\underline{\phantom{}414\phantom{9}}\\\phantom{46)9}415\\\end{array}$$

Find closest multiple of $46$ to $415$. We see that $9 \times 46 = 414$ is the nearest. Now subtract $414$ from $415$ to get reminder $1$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{46)}0199\phantom{8}\\46\overline{)9155}\\\phantom{46)}\underline{\phantom{}46\phantom{99}}\\\phantom{46)}455\\\phantom{46)}\underline{\phantom{}414\phantom{9}}\\\phantom{46)9}415\\\phantom{46)}\underline{\phantom{9}414\phantom{}}\\\phantom{46)999}1\\\end{array}$$

Since $1$ is less than $46$, stop the division. The reminder is $1$. The topmost line $0199$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $199$.

$$\text{Quotient: }199$$ $$\text{Reminder: }1$$

Show Solution

Factor

$\frac{5 \cdot 1831}{2 \cdot 23} = 199\frac{1}{46} = 199.02173913043478$

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Steps For Long Division Method

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