You have come to the correct place if you are looking to solve the quadratic equation 15x squared minus 20x minus 75 equals 0, also known as 15x² - 20x - 75 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 15x^2 - 20x - 75 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 15x² - 20x - 75 = 0.
Below is 15x squared minus 20x minus 75 in factored form. As you can see, 15x² - 20x - 75 has been grouped into two sets of parentheses.
(5x - 15)(3x + 5)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 15x^2 - 20x - 75 = 0.
(5x - 15) = 0
x1 = 3
(3x + 5) = 0
x2 = -1 2/3
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