You have come to the correct place if you are looking to solve the quadratic equation 48x squared minus 38x minus 51 equals 0, also known as 48x² - 38x - 51 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 48x^2 - 38x - 51 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 48x² - 38x - 51 = 0.
Below is 48x squared minus 38x minus 51 in factored form. As you can see, 48x² - 38x - 51 has been grouped into two sets of parentheses.
(2x - 3)(24x + 17)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 48x^2 - 38x - 51 = 0.
(2x - 3) = 0
x1 = 1 1/2
(24x + 17) = 0
x2 = -17/24
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