You have come to the correct place if you are looking to solve the quadratic equation 10x squared minus 24x minus 64 equals 0, also known as 10x² - 24x - 64 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 10x^2 - 24x - 64 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 10x² - 24x - 64 = 0.
Below is 10x squared minus 24x minus 64 in factored form. As you can see, 10x² - 24x - 64 has been grouped into two sets of parentheses.
(2x - 8)(5x + 8)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 10x^2 - 24x - 64 = 0.
(2x - 8) = 0
x1 = 4
(5x + 8) = 0
x2 = -1 3/5
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