Solve 4x² + 54x + 92 = 0

You have come to the correct place if you are looking to solve the quadratic equation 4x squared plus 54x plus 92 equals 0, also known as 4x² + 54x + 92 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 4x^2 + 54x + 92 = 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 + 54x + 92 = 0.

Below is 4x squared plus 54x plus 92 in factored form. As you can see, 4x² + 54x + 92 has been grouped into two sets of parentheses.

(2x + 4)(2x + 23)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 4x^2 + 54x + 92 = 0.

(2x + 4) = 0
x₁ = -2

(2x + 23) = 0
x₂ = -11 1/2

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