You have come to the correct place if you are looking to solve the quadratic equation 24x squared minus 28x minus 40 equals 0, also known as 24x² - 28x - 40 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 24x^2 - 28x - 40 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 24x² - 28x - 40 = 0.
Below is 24x squared minus 28x minus 40 in factored form. As you can see, 24x² - 28x - 40 has been grouped into two sets of parentheses.
(4x - 8)(6x + 5)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 24x^2 - 28x - 40 = 0.
(4x - 8) = 0
x1 = 2
(6x + 5) = 0
x2 = -5/6
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