You have come to the correct place if you are looking to solve the quadratic equation 51x squared minus 80x minus 76 equals 0, also known as 51x² - 80x - 76 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 51x^2 - 80x - 76 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 51x² - 80x - 76 = 0.
Below is 51x squared minus 80x minus 76 in factored form. As you can see, 51x² - 80x - 76 has been grouped into two sets of parentheses.
(17x - 38)(3x + 2)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 51x^2 - 80x - 76 = 0.
(17x - 38) = 0
x1 = 2 4/17
(3x + 2) = 0
x2 = -2/3
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