### Home > CCA2 > Chapter 1 > Lesson 1.2.1 > Problem1-63

1-63.

Find the error in the solution at right. Explain what the error is and solve the equation correctly. Be sure to check your answer.

Is the equation on line $2$ equivalent to line $1$?

What is the problem on line $2$? What do you need to do to fix it?

Multiply both sides of the equation, making a note that $x≠0$.

You now have a quadratic equation to solve.

$x = −1\text{ or }x = 5$

$\begin{array}{l}{ \ \ \ \ \ \frac { 5 } { x } = x - 4 }\\{ x \cdot \frac { 5 } { x } = x - 4 }\\{\ \ \ \ \ \ 5 = x - 4 }\\{\ \ \ \ \ \ x = 9 }\end{array}$