How to solve ( i ) 1625/12 (

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 ( i ) 1625/12 ( | Equatix

Question

$$1625 \div 12$$

Evaluate

$\frac{1625}{12}\approx 135.416666667$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $1625$

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)1625}\\\end{array}$$

Since $1$ is less than $12$, use the next digit $6$ from dividend $1625$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)1625}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $1625$

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)1625}\\\end{array}$$

Find closest multiple of $12$ to $16$. We see that $1 \times 12 = 12$ is the nearest. Now subtract $12$ from $16$ to get reminder $4$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{12)}01\phantom{4}\\12\overline{)1625}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}4\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $1625$

$$\begin{array}{l}\phantom{12)}01\phantom{5}\\12\overline{)1625}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}42\\\end{array}$$

Find closest multiple of $12$ to $42$. We see that $3 \times 12 = 36$ is the nearest. Now subtract $36$ from $42$ to get reminder $6$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{12)}013\phantom{6}\\12\overline{)1625}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}42\\\phantom{12)}\underline{\phantom{9}36\phantom{9}}\\\phantom{12)99}6\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $1625$

$$\begin{array}{l}\phantom{12)}013\phantom{7}\\12\overline{)1625}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}42\\\phantom{12)}\underline{\phantom{9}36\phantom{9}}\\\phantom{12)99}65\\\end{array}$$

Find closest multiple of $12$ to $65$. We see that $5 \times 12 = 60$ is the nearest. Now subtract $60$ from $65$ to get reminder $5$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{12)}0135\phantom{8}\\12\overline{)1625}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}42\\\phantom{12)}\underline{\phantom{9}36\phantom{9}}\\\phantom{12)99}65\\\phantom{12)}\underline{\phantom{99}60\phantom{}}\\\phantom{12)999}5\\\end{array}$$

Since $5$ is less than $12$, stop the division. The reminder is $5$. The topmost line $0135$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $135$.

$$\text{Quotient: }135$$ $$\text{Reminder: }5$$

Show Solution

Factor

$\frac{5 ^ {3} \cdot 13}{2 ^ {2} \cdot 3} = 135\frac{5}{12} = 135.41666666666666$

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Steps For Long Division Method

Factor