You have come to the correct place if you are looking to solve the quadratic equation 76x squared minus 27x minus 85 equals 0, also known as 76x² - 27x - 85 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 76x^2 - 27x - 85 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 76x² - 27x - 85 = 0.
Below is 76x squared minus 27x minus 85 in factored form. As you can see, 76x² - 27x - 85 has been grouped into two sets of parentheses.
(4x - 5)(19x + 17)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 76x^2 - 27x - 85 = 0.
(4x - 5) = 0
x1 = 1 1/4
(19x + 17) = 0
x2 = -17/19
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