You have come to the correct place if you are looking to solve the quadratic equation negative x squared minus 12x minus 35 equals 0, also known as -x² - 12x - 35 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -x^2 - 12x - 35 = 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 - 12x - 35 = 0.
Below is negative x squared minus 12x minus 35 in factored form. As you can see, -x² - 12x - 35 has been grouped into two sets of parentheses.
-(x + 5)(x + 7)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -x^2 - 12x - 35 = 0.
(x + 5) = 0
x1 = -5
(x + 7) = 0
x2 = -7
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