x^2+2x+1=0

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x^2+2x+1=0

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Identify Coefficients: Step Title: Identify the Coefficients Concise Step Description: Identify the coefficients of the quadratic equation, which are the numbers in front of the variables. In this case, the coefficients are 1, 2, and 1. Step Calculation: Coefficients are 1, 2, 1 Step Output: Coefficients: 1, 2, 1Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to 1 (the last term) and add to 2 (the coefficient of the middle term). Step Calculation: Factors of 1 that add up to 2 are 1 and 1. Step Output: Factors: 1, 1Write Factored Form: Step Title: Write the Factored Form Concise Step Description: Write the factored form of the quadratic equation using the factors found in the previous step. Step Calculation: The factored form is (x + 1)(x + 1), which can also be written as (x + 1)^2. Step Output: Factored Form: (x + 1)^2Solve Factored Equation: Step Title: Solve the Factored Equation Concise Step Description: Set the factored form equal to zero and solve for x. Step Calculation: (x + 1)^2 = 0 implies that x + 1 = 0, so x = -1. Step Output: Solution: x = -1

$x^2+2x+1=0$

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x2+2x+1=0x^2+2x+1=0x2+2x+1=0

$x^2+2x+1=0$