You have come to the correct place if you are looking to solve the quadratic equation 46x squared minus 97x minus 45 equals 0, also known as 46x² - 97x - 45 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 46x^2 - 97x - 45 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 46x² - 97x - 45 = 0.
Below is 46x squared minus 97x minus 45 in factored form. As you can see, 46x² - 97x - 45 has been grouped into two sets of parentheses.
(2x - 5)(23x + 9)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 46x^2 - 97x - 45 = 0.
(2x - 5) = 0
x1 = 2 1/2
(23x + 9) = 0
x2 = -9/23
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