You have come to the correct place if you are looking to solve the quadratic equation 28x squared minus 83x minus 78 equals 0, also known as 28x² - 83x - 78 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 28x^2 - 83x - 78 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 28x² - 83x - 78 = 0.
Below is 28x squared minus 83x minus 78 in factored form. As you can see, 28x² - 83x - 78 has been grouped into two sets of parentheses.
(7x - 26)(4x + 3)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 28x^2 - 83x - 78 = 0.
(7x - 26) = 0
x1 = 3 5/7
(4x + 3) = 0
x2 = -3/4
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