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 7628/50 | Equatix

Question

$$7628/50$$

Evaluate

$\frac{3814}{25}=152.56$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $7628$

$$\begin{array}{l}\phantom{50)}\phantom{1}\\50\overline{)7628}\\\end{array}$$

Since $7$ is less than $50$, use the next digit $6$ from dividend $7628$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{50)}0\phantom{2}\\50\overline{)7628}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $7628$

$$\begin{array}{l}\phantom{50)}0\phantom{3}\\50\overline{)7628}\\\end{array}$$

Find closest multiple of $50$ to $76$. We see that $1 \times 50 = 50$ is the nearest. Now subtract $50$ from $76$ to get reminder $26$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{50)}01\phantom{4}\\50\overline{)7628}\\\phantom{50)}\underline{\phantom{}50\phantom{99}}\\\phantom{50)}26\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $7628$

$$\begin{array}{l}\phantom{50)}01\phantom{5}\\50\overline{)7628}\\\phantom{50)}\underline{\phantom{}50\phantom{99}}\\\phantom{50)}262\\\end{array}$$

Find closest multiple of $50$ to $262$. We see that $5 \times 50 = 250$ is the nearest. Now subtract $250$ from $262$ to get reminder $12$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{50)}015\phantom{6}\\50\overline{)7628}\\\phantom{50)}\underline{\phantom{}50\phantom{99}}\\\phantom{50)}262\\\phantom{50)}\underline{\phantom{}250\phantom{9}}\\\phantom{50)9}12\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $7628$

$$\begin{array}{l}\phantom{50)}015\phantom{7}\\50\overline{)7628}\\\phantom{50)}\underline{\phantom{}50\phantom{99}}\\\phantom{50)}262\\\phantom{50)}\underline{\phantom{}250\phantom{9}}\\\phantom{50)9}128\\\end{array}$$

Find closest multiple of $50$ to $128$. We see that $2 \times 50 = 100$ is the nearest. Now subtract $100$ from $128$ to get reminder $28$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{50)}0152\phantom{8}\\50\overline{)7628}\\\phantom{50)}\underline{\phantom{}50\phantom{99}}\\\phantom{50)}262\\\phantom{50)}\underline{\phantom{}250\phantom{9}}\\\phantom{50)9}128\\\phantom{50)}\underline{\phantom{9}100\phantom{}}\\\phantom{50)99}28\\\end{array}$$

Since $28$ is less than $50$, stop the division. The reminder is $28$. The topmost line $0152$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $152$.

$$\text{Quotient: }152$$ $$\text{Reminder: }28$$

Show Solution

Factor

$\frac{2 \cdot 1907}{5 ^ {2}} = 152\frac{14}{25} = 152.56$

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Steps For Long Division Method

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