You have come to the correct place if you are looking to solve the quadratic equation negative 32x squared minus 96x minus 22 equals 0, also known as -32x² - 96x - 22 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -32x^2 - 96x - 22 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -32x² - 96x - 22 = 0.
Below is negative 32x squared minus 96x minus 22 in factored form. As you can see, -32x² - 96x - 22 has been grouped into two sets of parentheses.
-(8x + 2)(4x + 11)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -32x^2 - 96x - 22 = 0.
(8x + 2) = 0
x1 = -1/4
(4x + 11) = 0
x2 = -2 3/4
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