You have come to the correct place if you are looking to solve the quadratic equation 15x squared minus 14x minus 32 equals 0, also known as 15x² - 14x - 32 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 15x^2 - 14x - 32 = 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 - 14x - 32 = 0.
Below is 15x squared minus 14x minus 32 in factored form. As you can see, 15x² - 14x - 32 has been grouped into two sets of parentheses.
(x - 2)(15x + 16)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 15x^2 - 14x - 32 = 0.
(x - 2) = 0
x1 = 2
(15x + 16) = 0
x2 = -1 1/15
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