You have come to the correct place if you are looking to solve the quadratic equation 54x squared minus 28x minus 82 equals 0, also known as 54x² - 28x - 82 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 54x^2 - 28x - 82 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 54x² - 28x - 82 = 0.
Below is 54x squared minus 28x minus 82 in factored form. As you can see, 54x² - 28x - 82 has been grouped into two sets of parentheses.
(54x - 82)(x + 1)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 54x^2 - 28x - 82 = 0.
(54x - 82) = 0
x1 = 1 14/27
(x + 1) = 0
x2 = -1
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