You have come to the correct place if you are looking to solve the quadratic equation negative 14x squared minus 31x minus 15 equals 0, also known as -14x² - 31x - 15 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -14x^2 - 31x - 15 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -14x² - 31x - 15 = 0.
Below is negative 14x squared minus 31x minus 15 in factored form. As you can see, -14x² - 31x - 15 has been grouped into two sets of parentheses.
-(7x + 5)(2x + 3)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -14x^2 - 31x - 15 = 0.
(7x + 5) = 0
x1 = -5/7
(2x + 3) = 0
x2 = -1 1/2
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