How to solve 17894x1487

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 17894x1487 | Equatix

Question

$$17894x1487$$

Evaluate

$17894x_{1487}$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}17894\\\underline{\times\phantom{9999}1487}\\\end{array}$$

Now multiply the first number with the $1^{st}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 17894 with 7. Write the result 125258 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}17894\\\underline{\times\phantom{9999}1487}\\\phantom{\times99}125258\\\end{array}$$

Now multiply the first number with the $2^{nd}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 17894 with 8. Write the result 143152 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}17894\\\underline{\times\phantom{9999}1487}\\\phantom{\times99}125258\\\phantom{\times9}143152\phantom{9}\\\end{array}$$

Now multiply the first number with the $3^{rd}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 17894 with 4. Write the result 71576 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}17894\\\underline{\times\phantom{9999}1487}\\\phantom{\times99}125258\\\phantom{\times9}143152\phantom{9}\\\phantom{\times9}71576\phantom{99}\\\end{array}$$

Now multiply the first number with the $4^{th}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 17894 with 1. Write the result 17894 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}17894\\\underline{\times\phantom{9999}1487}\\\phantom{\times99}125258\\\phantom{\times9}143152\phantom{9}\\\phantom{\times9}71576\phantom{99}\\\underline{\phantom{\times}17894\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

Show Solution

Differentiate w.r.t. x_1487

$17894$

Steps Using Definition of a Derivative

The derivative of $ax^{n}$ is $nax^{n-1}$.

$$17894x_{1487}^{1-1}$$

Subtract $1$ from $1$.

$$17894x_{1487}^{0}$$

For any term $t$ except $0$, $t^{0}=1$.

$$17894\times 1$$

For any term $t$, $t\times 1=t$ and $1t=t$.

$$17894$$

Show Solution

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Steps For Long Multiplication

Differentiate w.r.t. x_1487

Steps Using Definition of a Derivative