Solve 6x² + 36x + 54 = 0

You have come to the correct place if you are looking to solve the quadratic equation 6x squared plus 36x plus 54 equals 0, also known as 6x² + 36x + 54 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 6x^2 + 36x + 54 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 6x² + 36x + 54 = 0.

Below is 6x squared plus 36x plus 54 in factored form. As you can see, 6x² + 36x + 54 has been grouped into two sets of parentheses.

(6x + 18)(x + 3)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 6x^2 + 36x + 54 = 0.

(6x + 18) = 0
x₁ = -3

(x + 3) = 0
x₂ = -3

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