Solve 4x² + 21x + 27 = 0

You have come to the correct place if you are looking to solve the quadratic equation 4x squared plus 21x plus 27 equals 0, also known as 4x² + 21x + 27 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 4x^2 + 21x + 27 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 4x² + 21x + 27 = 0.

Below is 4x squared plus 21x plus 27 in factored form. As you can see, 4x² + 21x + 27 has been grouped into two sets of parentheses.

(4x + 9)(x + 3)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 4x^2 + 21x + 27 = 0.

(4x + 9) = 0
x₁ = -2 1/4

(x + 3) = 0
x₂ = -3

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