You have come to the correct place if you are looking to solve the quadratic equation negative 4x squared minus 21x minus 20 equals 0, also known as -4x² - 21x - 20 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -4x^2 - 21x - 20 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -4x² - 21x - 20 = 0.
Below is negative 4x squared minus 21x minus 20 in factored form. As you can see, -4x² - 21x - 20 has been grouped into two sets of parentheses.
-(4x + 5)(x + 4)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -4x^2 - 21x - 20 = 0.
(4x + 5) = 0
x1 = -1 1/4
(x + 4) = 0
x2 = -4
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