Solve 38x² + 58x + 20 = 0

You have come to the correct place if you are looking to solve the quadratic equation 38x squared plus 58x plus 20 equals 0, also known as 38x² + 58x + 20 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 38x^2 + 58x + 20 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 38x² + 58x + 20 = 0.

Below is 38x squared plus 58x plus 20 in factored form. As you can see, 38x² + 58x + 20 has been grouped into two sets of parentheses.

(38x + 20)(x + 1)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 38x^2 + 58x + 20 = 0.

(38x + 20) = 0
x₁ = -10/19

(x + 1) = 0
x₂ = -1

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