You have come to the correct place if you are looking to solve the quadratic equation 3x squared minus 35x minus 52 equals 0, also known as 3x² - 35x - 52 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 3x^2 - 35x - 52 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 3x² - 35x - 52 = 0.
Below is 3x squared minus 35x minus 52 in factored form. As you can see, 3x² - 35x - 52 has been grouped into two sets of parentheses.
(x - 13)(3x + 4)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 3x^2 - 35x - 52 = 0.
(x - 13) = 0
x1 = 13
(3x + 4) = 0
x2 = -1 1/3
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