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# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\sqrt{2x+1}=x-1$

Learn how to solve equations with square roots problems step by step online.

$2x+1=\left(x-1\right)^{2}$

Learn how to solve equations with square roots problems step by step online. Solve the equation with radicals (2x+1)^0.5=x-1. Removing the variable's exponent. Expand \left(x-1\right)^{2}. Grouping terms. Solve the product -\left(x^2-2x+1\right).

## Final Answer

$x=0,\:x=4$

### Problem Analysis

$\sqrt{2x+1}=x-1$

### Main topic:

Equations with square roots

~ 0.08 seconds