You have come to the correct place if you are looking to solve the quadratic equation negative 9x squared minus 75x minus 100 equals 0, also known as -9x² - 75x - 100 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -9x^2 - 75x - 100 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -9x² - 75x - 100 = 0.
Below is negative 9x squared minus 75x minus 100 in factored form. As you can see, -9x² - 75x - 100 has been grouped into two sets of parentheses.
-(3x + 5)(3x + 20)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -9x^2 - 75x - 100 = 0.
(3x + 5) = 0
x1 = -1 2/3
(3x + 20) = 0
x2 = -6 2/3
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