Solve 5x² + 52x + 96 = 0

You have come to the correct place if you are looking to solve the quadratic equation 5x squared plus 52x plus 96 equals 0, also known as 5x² + 52x + 96 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 5x^2 + 52x + 96 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 5x² + 52x + 96 = 0.

Below is 5x squared plus 52x plus 96 in factored form. As you can see, 5x² + 52x + 96 has been grouped into two sets of parentheses.

(5x + 12)(x + 8)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 5x^2 + 52x + 96 = 0.

(5x + 12) = 0
x₁ = -2 2/5

(x + 8) = 0
x₂ = -8

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