Solve 2x² + 5x + 3 = 0

You have come to the correct place if you are looking to solve the quadratic equation 2x squared plus 5x plus 3 equals 0, also known as 2x² + 5x + 3 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 2x^2 + 5x + 3 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 2x² + 5x + 3 = 0.

Below is 2x squared plus 5x plus 3 in factored form. As you can see, 2x² + 5x + 3 has been grouped into two sets of parentheses.

(x + 1)(2x + 3)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 2x^2 + 5x + 3 = 0.

(x + 1) = 0
x₁ = -1

(2x + 3) = 0
x₂ = -1 1/2

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