Solve x² + 52x + 51 = 0

You have come to the correct place if you are looking to solve the quadratic equation x squared plus 52x plus 51 equals 0, also known as x² + 52x + 51 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to x^2 + 52x + 51 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve x² + 52x + 51 = 0.

Below is x squared plus 52x plus 51 in factored form. As you can see, x² + 52x + 51 has been grouped into two sets of parentheses.

(x + 1)(x + 51)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to x^2 + 52x + 51 = 0.

(x + 1) = 0
x₁ = -1

(x + 51) = 0
x₂ = -51

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