You have come to the correct place if you are looking to solve the quadratic equation negative 16x squared minus 74x minus 84 equals 0, also known as -16x² - 74x - 84 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -16x^2 - 74x - 84 = 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 - 74x - 84 = 0.
Below is negative 16x squared minus 74x minus 84 in factored form. As you can see, -16x² - 74x - 84 has been grouped into two sets of parentheses.
-(2x + 4)(8x + 21)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -16x^2 - 74x - 84 = 0.
(2x + 4) = 0
x1 = -2
(8x + 21) = 0
x2 = -2 5/8
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