Solve -71x² - 57x + 14 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 71x squared minus 57x plus 14 equals 0, also known as -71x² - 57x + 14 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -71x^2 - 57x + 14 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -71x² - 57x + 14 = 0.

Below is negative 71x squared minus 57x plus 14 in factored form. As you can see, -71x² - 57x + 14 has been grouped into two sets of parentheses.

-(71x - 14)(x + 1)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -71x^2 - 57x + 14 = 0.

(71x - 14) = 0
x₁ = 14/71

(x + 1) = 0
x₂ = -1

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