You have come to the correct place if you are looking to solve the quadratic equation 38x squared minus 65x minus 42 equals 0, also known as 38x² - 65x - 42 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 38x^2 - 65x - 42 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 38x² - 65x - 42 = 0.
Below is 38x squared minus 65x minus 42 in factored form. As you can see, 38x² - 65x - 42 has been grouped into two sets of parentheses.
(19x - 42)(2x + 1)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 38x^2 - 65x - 42 = 0.
(19x - 42) = 0
x1 = 2 4/19
(2x + 1) = 0
x2 = -1/2
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