Solve a problem

Rational equationsAlgebraHigh schoolabout 0:30

Solve 1/x = 0: animated lesson

A narrated, step-by-step rational equations video lesson with captions. Final answer: No solution.

SpeedLanguage

Video with a synthetic English voice and captions. Pick another language for subtitles in that language, or open the interactive version.

Video narrated by a synthetic voice (Piper TTS, en_US-ljspeech-high voice (LJ Speech dataset, public domain)); the steps come from our maths engine and the answer was checked independently. Download MP4 (0.2 MB) · Captions (WebVTT)

Steps on screen

1. The problem
Solving an equation
$\frac{1}{ x} = 0$
2. Step by step
1. $\frac{1}{ x} = 0$
  Start with the equation
2. $1 = 0$
  Multiply both sides by $x$ to clear the fractions
3. $1 = 0$
  Move every term to one side and simplify
3. The answer
$\text{No solution}$
1 = 0 is false

Transcript

The problem. Here is the problem: 1/x equals 0. Solve for x.

Step by step. Start with the equation. Multiply both sides by x to clear the fractions. This is only valid where x not equal to 0, so any value that makes it zero is excluded at the end. Move every term to one side and simplify.

The answer. So the answer is No solution. The variable cancels and leaves a false statement, so no value of x works.

About rational equations

Solve equations with variables in the denominator and reject values that make a denominator zero.

Solve 1/x = 0: Rational equations Step-by-Step Lesson