Solve the Quadratic equation : 2x^(2)+3x-2=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 2, 3, and -2. Step Calculation: Coefficients are 2, 3, -2 Step Output: Coefficients: 2, 3, -2Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to the product of the leading coefficient (2) and the constant term (-2), which is -4, and add to the middle coefficient (3). Step Calculation: Factors of -4 that add up to 3 are 4 and -1. Step Output: Factors: 4, -1Rewrite Middle Term: Step Title: Rewrite the Middle Term Concise Step Description: Rewrite the middle term using the factors found in the previous step. Step Calculation: The quadratic equation can be rewritten as 2x^2 + 4x - x - 2. Step Output: Rewritten Quadratic: 2x^2 + 4x - x - 2Factor by Grouping: Step Title: Factor by Grouping Concise Step Description: Group the terms into two pairs and factor out the common factors from each pair. Step Calculation: Factor out 2x from the first pair and -1 from the second pair to get 2x(x + 2) - 1(x + 2). Step Output: Factored by Grouping: 2x(x + 2) - 1(x + 2)Factor Out Common Binomial: Step Title: Factor Out the Common Binomial Concise Step Description: Factor out the common binomial factor from the grouped terms. Step Calculation: The common binomial factor is (x + 2), so factor it out to get (x + 2)(2x - 1). Step Output: Factored Form: (x + 2)(2x - 1)

Solve the Quadratic equation : $2 x^{2}+3 x-2=0$

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Solve the Quadratic equation : 2x2+3x−2=0 2 x^{2}+3 x-2=0 2x2+3x−2=0

Solve the Quadratic equation : $2 x^{2}+3 x-2=0$