You have come to the correct place if you are looking to solve the quadratic equation 3x squared minus x minus 14 equals 0, also known as 3x² - x - 14 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 3x^2 - x - 14 = 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 - x - 14 = 0.
Below is 3x squared minus x minus 14 in factored form. As you can see, 3x² - x - 14 has been grouped into two sets of parentheses.
(3x - 7)(x + 2)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 3x^2 - x - 14 = 0.
(3x - 7) = 0
x1 = 2 1/3
(x + 2) = 0
x2 = -2
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