You have come to the correct place if you are looking to solve the quadratic equation 25x squared minus 3x minus 22 equals 0, also known as 25x² - 3x - 22 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 25x^2 - 3x - 22 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 25x² - 3x - 22 = 0.
Below is 25x squared minus 3x minus 22 in factored form. As you can see, 25x² - 3x - 22 has been grouped into two sets of parentheses.
(x - 1)(25x + 22)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 25x^2 - 3x - 22 = 0.
(x - 1) = 0
x1 = 1
(25x + 22) = 0
x2 = -22/25
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