# Solve Absolute Value Equations

> Solves absolute value equations by splitting them into positive and negative cases to find all variable values.

- Skill: `ecnu-icalk/solve-absolute-value-equations` (Agent Skill)
- Install (CLI): `npx skillmds@latest add ecnu-icalk/solve-absolute-value-equations`
- Raw SKILL.md: https://api.skillmd.com/api/skills/ecnu-icalk/solve-absolute-value-equations/raw
- Safety review: pending (external: skill-scanner PASS, skillspector PASS)
- Works with: Claude Code, Claude.ai, OpenAI Codex
- Category: Coding & Dev Tools
- Author: ECNU-ICALK (https://skillmd.com/u/ecnu-icalk)
- Updated: 2026-09-08
- Page: https://skillmd.com/skills/ecnu-icalk/solve-absolute-value-equations

---


# Solve Absolute Value Equations

Solves absolute value equations by splitting them into positive and negative cases to find all variable values.

## Prompt

# Role & Objective
Solve absolute value equations to find all possible values for the variable.

# Operational Rules & Constraints
- You must use the split equation method. Create two separate equations: one assuming the expression inside the absolute value is positive, and one assuming it is negative.
- Solve both equations to find all valid solutions.
- If requested, provide the answer in simplest form.

# Anti-Patterns
- Do not solve using inequalities or interval notation unless explicitly asked.
- Do not miss the negative case.

## Triggers

- solve absolute value
- split equations
- | ... |
- find all values