Algebraic Manipulation Math Example 2
Follow the full solution, then compare it with the other examples linked below.
Example 2
mediumSolve for : .
Solution
- 1 Step 1: Distribute: .
- 2 Step 2: Simplify left: .
- 3 Step 3: Subtract : . This is false!
- 4 No solution — the equation is a contradiction.
Answer
No solution
Sometimes algebraic manipulation reveals that an equation has no solution (a contradiction like ). This happens when the variable terms cancel and the constants don't match.
About Algebraic Manipulation
Algebraic manipulation is the process of rewriting expressions or equations into equivalent forms to reveal structure or solve for unknowns.
Learn more about Algebraic Manipulation →