You have come to the correct place if you are looking to solve the quadratic equation negative 8x squared plus 76x minus 96 equals 0, also known as -8x² + 76x - 96 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -8x^2 + 76x - 96 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -8x² + 76x - 96 = 0.
Below is negative 8x squared plus 76x minus 96 in factored form. As you can see, -8x² + 76x - 96 has been grouped into two sets of parentheses.
-(4x - 32)(2x - 3)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -8x^2 + 76x - 96 = 0.
(4x - 32) = 0
x1 = 8
(2x - 3) = 0
x2 = 1 1/2
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