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.

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Question

$$1004 \times 500$$

Evaluate

$502000$

Steps For Long Multiplication

First line up the numbers vertically and match the places from the right like this.

$$\begin{array}{c}\phantom{\times99}1004\\\underline{\times\phantom{999}500}\\\end{array}$$

Now multiply the first number with the $1^{st}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 1004 with 0. Write the result 0 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}1004\\\underline{\times\phantom{999}500}\\\phantom{\times999999}0\\\end{array}$$

Now multiply the first number with the $2^{nd}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 1004 with 0. Write the result 0 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}1004\\\underline{\times\phantom{999}500}\\\phantom{\times999999}0\\\phantom{\times99999}0\phantom{9}\\\end{array}$$

Now multiply the first number with the $3^{rd}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 1004 with 5. Write the result 5020 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}1004\\\underline{\times\phantom{999}500}\\\phantom{\times999999}0\\\phantom{\times99999}0\phantom{9}\\\underline{\phantom{\times}5020\phantom{99}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times99}1004\\\underline{\times\phantom{999}500}\\\phantom{\times999999}0\\\phantom{\times99999}0\phantom{9}\\\underline{\phantom{\times}5020\phantom{99}}\\\phantom{\times}502000\end{array}$$

Show Solution

Factor

$2^{4}\times 5^{3}\times 251$