You have come to the correct place if you are looking to solve the quadratic equation negative 72x squared minus 89x minus 17 equals 0, also known as -72x² - 89x - 17 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -72x^2 - 89x - 17 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -72x² - 89x - 17 = 0.
Below is negative 72x squared minus 89x minus 17 in factored form. As you can see, -72x² - 89x - 17 has been grouped into two sets of parentheses.
-(72x + 17)(x + 1)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -72x^2 - 89x - 17 = 0.
(72x + 17) = 0
x1 = -17/72
(x + 1) = 0
x2 = -1
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