Solve 58x² + 45x + 8 = 0

You have come to the correct place if you are looking to solve the quadratic equation 58x squared plus 45x plus 8 equals 0, also known as 58x² + 45x + 8 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 58x^2 + 45x + 8 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 58x² + 45x + 8 = 0.

Below is 58x squared plus 45x plus 8 in factored form. As you can see, 58x² + 45x + 8 has been grouped into two sets of parentheses.

(29x + 8)(2x + 1)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 58x^2 + 45x + 8 = 0.

(29x + 8) = 0
x₁ = -8/29

(2x + 1) = 0
x₂ = -1/2

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