You have come to the correct place if you are looking to solve the quadratic equation negative 14x squared plus 97x minus 39 equals 0, also known as -14x² + 97x - 39 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -14x^2 + 97x - 39 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -14x² + 97x - 39 = 0.
Below is negative 14x squared plus 97x minus 39 in factored form. As you can see, -14x² + 97x - 39 has been grouped into two sets of parentheses.
-(2x - 13)(7x - 3)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -14x^2 + 97x - 39 = 0.
(2x - 13) = 0
x1 = 6 1/2
(7x - 3) = 0
x2 = 3/7
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