Solve 23x² + 45x + 22 = 0

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You have come to the correct place if you are looking to solve the quadratic equation 23x squared plus 45x plus 22 equals 0, also known as 23x² + 45x + 22 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 23x^2 + 45x + 22 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 23x² + 45x + 22 = 0.

Below is 23x squared plus 45x plus 22 in factored form. As you can see, 23x² + 45x + 22 has been grouped into two sets of parentheses.

(23x + 22)(x + 1)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 23x^2 + 45x + 22 = 0.

(23x + 22) = 0
x₁ = -22/23

(x + 1) = 0
x₂ = -1

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