Solve -16x² - 75x + 91 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 16x squared minus 75x plus 91 equals 0, also known as -16x² - 75x + 91 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -16x^2 - 75x + 91 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -16x² - 75x + 91 = 0.

Below is negative 16x squared minus 75x plus 91 in factored form. As you can see, -16x² - 75x + 91 has been grouped into two sets of parentheses.

-(x - 1)(16x + 91)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -16x^2 - 75x + 91 = 0.

(x - 1) = 0
x₁ = 1

(16x + 91) = 0
x₂ = -5 11/16

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