What is the answer to (|x|)/x =(|x|)/x ?

The answer to (|x|)/x =(|x|)/x is x\ne 0

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(|x|)/x =(|x|)/x

\frac{∣ x ∣}{x} = \frac{∣ x ∣}{x}

x \neq = 0

Solution steps

\frac{∣ x ∣}{x} = \frac{∣ x ∣}{x}

Subtract

\frac{∣ x ∣}{x}

from both sides

\frac{∣ x ∣}{x} - \frac{∣ x ∣}{x} = \frac{∣ x ∣}{x} - \frac{∣ x ∣}{x}

Simplify

0 = 0

Both sides are equal

True for all x

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x \neq = 0

∣ k + 6 ∣ = 3

3 x + x^{2} = 8

14 + 9 + x \leq 4

x^{2} - 45 = 0

9 x^{2} - 30 x + 25 = 0

What is the answer to (|x|)/x =(|x|)/x ?
The answer to (|x|)/x =(|x|)/x is x\ne 0
Solve for x: (|x|)/x =(|x|)/x
The solution is x\ne 0