Solve 3x² + 13x + 4 = 0

You have come to the correct place if you are looking to solve the quadratic equation 3x squared plus 13x plus 4 equals 0, also known as 3x² + 13x + 4 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 3x^2 + 13x + 4 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 3x² + 13x + 4 = 0.

Below is 3x squared plus 13x plus 4 in factored form. As you can see, 3x² + 13x + 4 has been grouped into two sets of parentheses.

(3x + 1)(x + 4)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 3x^2 + 13x + 4 = 0.

(3x + 1) = 0
x₁ = -1/3

(x + 4) = 0
x₂ = -4

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